:: Library Catalog

Saved in:

Bibliographic Details
Main Authors:	Anjyo, Ken, Kabata, Yutaro
Format:	Preprint
Published:	2023
Subjects:	Differential Geometry
Online Access:	https://arxiv.org/abs/2310.05087
Tags:	Add Tag No Tags, Be the first to tag this record!

Visualization of curvature on curve and surface by tangential angle parametrization
by: Kabata, Yutaro, et al.
Published: (2025)

Stationary surfaces of height-dependent weighted area functionals in $\mathbb{R}^3$ and $\mathbb{L}^3$
by: Martínez, Antonio, et al.
Published: (2024)

A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$
by: Stryker, Douglas
Published: (2026)

Growth of spinors in the generalized Seiberg-Witten equations on $\mathbb R^4$ and $\mathbb R^3$
by: Bera, Gorapada
Published: (2023)

Isoparametric Hypersurfaces of $\mathbb H^n\times\mathbb R$ and $\mathbb S^n\times\mathbb R$
by: de Lima, Ronaldo F., et al.
Published: (2024)

Genus one $H$-surfaces with $k$-ends in $\mathbb{H}^2\times\mathbb{R}$
by: Castro-Infantes, Jesús, et al.
Published: (2023)

Translators to Higher Order Mean Curvature Flows in $\mathbb R^n\times\mathbb R$ and $\mathbb H^n\times\mathbb R$
by: de Lima, Ronaldo F., et al.
Published: (2022)

Biconservative surfaces in $\mathbb{S}^2\times\mathbb{R}$ and $\mathbb{H}^2\times\mathbb{R}$
by: Fetcu, Dorel
Published: (2025)

On certain symmetries of $\mathbb R^3$ with a diagonal metric
by: Blaga, Adara M.
Published: (2025)

Basic invariants for time-like surfaces in $\mathbb R^3_1$ with real asymptotic lines
by: Kassabov, Ognian
Published: (2026)

On Stability and Isoperimetry of Constant Mean Curvature Spheres of $\mathbb H^n\times\mathbb R$ and $\mathbb S^n\times\mathbb R.$
by: de Lima, Ronaldo F., et al.
Published: (2023)

Stable anisotropic minimal hypersurfaces in $\mathbb{R}^{5}$ and $\mathbb{R}^{6}$
by: Li, Jia, et al.
Published: (2025)

Revisiting ancient noncollapsed flows in $\mathbb{R}^3$
by: Choi, Kyeongsu, et al.
Published: (2025)

On the curvature bounded sphere problem in $\mathbb{R}^3$
by: Qiu, Hongda
Published: (2025)

Revisiting generic mean curvature flow in $\mathbb{R}^3$
by: Chodosh, Otis, et al.
Published: (2024)

Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$
by: Orriols, Gerard, et al.
Published: (2025)

Einstein submanifolds with parallel mean curvature into $\mathbb{S}^n\times\mathbb{R}$
by: Garcia, Estela, et al.
Published: (2024)

The Structure of Isoperimetric Bubbles on $\mathbb{R}^n$ and $\mathbb{S}^n$
by: Milman, Emanuel, et al.
Published: (2022)

Rotators-Translators to Mean Curvature Flow in $\mathbb H^2\times\mathbb R$
by: de Lima, Ronaldo F., et al.
Published: (2024)

Generalized Curvatures of Curves in $\mathbb{R}^n$
by: Teo, Lee-Peng
Published: (2025)

Stable minimal hypersurfaces in $\mathbb R^6$
by: Mazet, Laurent
Published: (2024)

The $1$-parametric $h$-principle for smooth conformal immersions of surfaces
by: Boukholkhal, Alaa
Published: (2026)

An index formula for hemispheres of a $C^2$-regular convex closed surface in Euclidean $3$-space
by: Ando, Naoya, et al.
Published: (2025)

Pseudo-Kähler structure on the $\mathrm{SL}(3,\mathbb{R})$-Hitchin component and Goldman symplectic form
by: Rungi, Nicholas, et al.
Published: (2023)

Deformation quantization of a hessian KV- structure on $\mathbb{R}^2$
by: Mopeng, Herguey, et al.
Published: (2025)

Rigidity of Minimal Surfaces with Y-singularities and low Morse Index in $\mathbb{R}^3$
by: Matinpour, Elham
Published: (2025)

Certain symmetries of $\mathbb R^2$ with diagonal metrics
by: Blaga, Adara M.
Published: (2024)

Proper harmonic embeddings of open Riemann surfaces into $\mathbb{R}^4$
by: Alarcon, Antonio, et al.
Published: (2022)

Almost complex totally geodesic surfaces in the nearly Kähler $\frac{\text{SL}(3,\mathbb R)}{\mathbb R\times \text{SO}(2)}$
by: Anarella, Mateo, et al.
Published: (2026)

Constructing Ricci vector fields on $\mathbb R^2$ with a diagonal metric
by: Blaga, Adara M.
Published: (2025)

Global Darboux coordinates for complete Lagrangian fibrations and an application to the deformation space of $\mathbb{R}\mathbb{P}^2$-structures in genus one
by: Rungi, Nicholas, et al.
Published: (2022)

First eigenvalue and nodal domains of the drift Laplacian on symmetric self-shrinkers in $\mathbb{R}^3$
by: Matinpour, Elham
Published: (2025)

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$
by: Karpukhin, Mikhail, et al.
Published: (2025)

Classification results for totally real surfaces of nearly Kähler $\mathbb{C}P^3$
by: Liefsoens, Michaël, et al.
Published: (2025)

Dihedralization of Minimal Surfaces in $\mathbb{R}^3$
by: Yol, Ramazan
Published: (2021)

On uniqueness of free boundary minimal annuli in geodesic balls of $\mathbb{S}^3_+$ and $\mathbb{H}^3$
by: Lima, César
Published: (2025)

SYZ mirror of Hirzebruch surface $\mathbb{F}_k$ and Morse homotopy
by: Nakanishi, Hayato
Published: (2023)

Introduction to Lorentzian and Flat Affine Geometry of $\mathsf{GL}(2,\mathbb{R})$
by: Medina, Alberto, et al.
Published: (2024)

λ-Biharmonic hypersurfaces in the product space L^{m}\times \mathbb{R}
by: Yang, Chao, et al.
Published: (2024)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"905c57ffb3b8a1bdb2e40730e8f4dd3f"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784430254.7207 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "905c57ffb3b8a1bdb2e40730e8f4dd3f" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=905c57ffb3b8a1bdb2e40730e8f4dd3f; language=en; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.30"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"1627"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2310_05087/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2310_05087/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784430254.7163
REQUEST_TIME	1784430254

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"905c57ffb3b8a1bdb2e40730e8f4dd3f"
language	"en"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1784430254.7207 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "905c57ffb3b8a1bdb2e40730e8f4dd3f" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1583}
SessionHelper	Laminas\Stdlib\ArrayObject {#1772}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"VUFIND_SESSION=905c57ffb3b8a1bdb2e40730e8f4dd3f; language=en; ui=standard"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.30"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"1627"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2310_05087/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2310_05087/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1784430254.7163
REQUEST_TIME	1784430254

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: