The first nonzero eigenvalue of the weighted p-Laplacian on differential forms

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Miao, Mingzhu, Qi, Xuerong, Yin, Jiabin
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Differential Geometry 47J10, 53C40, 53C65
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

On the first eigenvalue of the Hodge Laplacian of submanifolds
von: Onti, Christos-Raent
Veröffentlicht: (2025)

A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere
von: Soares, Matheus Nunes, et al.
Veröffentlicht: (2024)

Remarks on the generalised Calabi-Yau problem in higher codimension
von: Assimos, Renan, et al.
Veröffentlicht: (2024)

On the first eigenvalue of the area Jacobi operator for complex curves in Kähler surfaces
von: Xie, Zhenxiao
Veröffentlicht: (2026)

Time-dependent Zermelo navigation with tacking
von: Markvorsen, Steen, et al.
Veröffentlicht: (2025)

Rigidity of Solitons to the Mean Curvature Flow in $\mathbb{H}^3$ as Translation Surfaces
von: Ferreira, Tarcios Andrey, et al.
Veröffentlicht: (2025)

Generalized Minkowski formulas and rigidity results for anisotropic capillary hypersurfaces
von: Gao, Jinyu, et al.
Veröffentlicht: (2024)

Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms
von: Hu, Yingxiang, et al.
Veröffentlicht: (2022)

A symmetry condition for genus zero free boundary minimal surfaces attaining the first eigenvalue of one
von: Seo, Dong-Hwi
Veröffentlicht: (2024)

The Anisotropic Capillary $L_p$-Minkowski Problem
von: Ding, Shanwei, et al.
Veröffentlicht: (2026)

Cohomogeneity-One Ruled Hypersurfaces in $\mathbb{CP}^2$ and $\mathbb{C}H^2$
von: Ivey, Thomas A., et al.
Veröffentlicht: (2026)

$S^1$-invariant Laplacian flow
von: Fowdar, Udhav
Veröffentlicht: (2020)

Minimal total absolute curvature for equiaffine immersions
von: Yamauchi, Yuta
Veröffentlicht: (2026)

Nearly $G_2$-manifolds and $G_2$-Laplacian co-flows
von: Lotay, Jason D., et al.
Veröffentlicht: (2025)

Biconservative hypersurfaces in space forms $\overline{M}^{\lowercase{n+1}}(\lowercase{c})$
von: Gupta, Ram Shankar, et al.
Veröffentlicht: (2024)

Equivariant Embeddings of Kälerian Symmetric Spaces
von: Eschenburg, J. -H., et al.
Veröffentlicht: (2025)

Hodge Laplacian on $1$-forms of homogeneous $3$-spheres
von: Henkel, Jonas, et al.
Veröffentlicht: (2026)

Classification of K-contact forms and spectral invariants of their sub-Laplacians
von: Bellini, Eugenio
Veröffentlicht: (2026)

Green function rigidity and the mass of hypersurfaces under inversion
von: Chen, Xuezhang, et al.
Veröffentlicht: (2025)

Curvature homogeneous hypersurfaces in space forms
von: Bryant, Robert, et al.
Veröffentlicht: (2024)

Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $\mathbb{H}^{n+1}$
von: Hong, Han, et al.
Veröffentlicht: (2024)

Characteristic forms of complex Cartan geometries III: G-structures
von: McKay, Benjamin
Veröffentlicht: (2022)

Spheres with parallel mean curvature in $\mathbb{S}^2 \times \mathbb{H}^2$
von: Stas, Giel, et al.
Veröffentlicht: (2025)

Isotropy invariant graphical mean curvature flows in warped products
von: Fujihara, Naotoshi, et al.
Veröffentlicht: (2024)

The total absolute curvature of submanifolds with singularities
von: Yamauchi, Yuta
Veröffentlicht: (2024)

Willmore Flow of Complete Surfaces
von: Li, Long-Sin
Veröffentlicht: (2022)

Invertibility of local geodesic transverse and mixed ray transforms I: basic cases
von: Uhlmann, Gunther, et al.
Veröffentlicht: (2024)

A parabolic flow for the large volume heterotic $G_2$ system
von: Garcia-Fernandez, Mario, et al.
Veröffentlicht: (2025)

Estimates of eigenvalues of elliptical differential problems in divergence form
von: FIlho, Marcio C. Araújo, et al.
Veröffentlicht: (2026)

Exploring new extrinsic upper bounds on the first eigenvalue of the Laplace operator for compact submanifolds in Euclidean spaces
von: Palomo, Francisco J., et al.
Veröffentlicht: (2024)

Pinching rigidity of minimal surfaces in spheres
von: Ding, Weiran, et al.
Veröffentlicht: (2024)

Integral-Einstein hypersurfaces in spheres
von: Ge, Jianquan, et al.
Veröffentlicht: (2021)

Flows of SU(2)-structures
von: Fowdar, Udhav, et al.
Veröffentlicht: (2024)

The holonomy of spherically symmetric projective Finsler metrics of constant curvature
von: Mezrag, Asma, et al.
Veröffentlicht: (2024)

Parallel one forms on special Finsler manifolds
von: Elgendi, Salah G.
Veröffentlicht: (2024)

Extremal metrics for the eigenvalues of the Laplacian on manifolds with boundary
von: Longa, Eduardo
Veröffentlicht: (2023)

On quaternionic bisectional curvature
von: Macia, Oscar, et al.
Veröffentlicht: (2023)

Torse-forming vector field with certain deformations
von: Gherici, Beldjilali, et al.
Veröffentlicht: (2026)

Calderón problem for systems via complex parallel transport
von: Cekić, Mihajlo
Veröffentlicht: (2023)

Euclidean hypersurfaces with semi-parallel Moebius second fundamental form
von: Antas, Mateus, et al.
Veröffentlicht: (2025)

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
ui	"standard"
language	"de"
VUFIND_SESSION	"104d0358ffc137176dd6733b6f4c2db5"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790859288.6782 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "104d0358ffc137176dd6733b6f4c2db5" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

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	"ui=standard; language=de; VUFIND_SESSION=104d0358ffc137176dd6733b6f4c2db5"
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	"216.73.216.147"
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	"55121"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2512_07263/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2512_07263/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790859288.6699
REQUEST_TIME	1790859288

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler