New Counterexamples to Min-Oo's Conjecture via Tunnels

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Sweeney Jr, Paul
Format:	Preprint
Veröffentlicht:	2023
Schlagworte:	Differential Geometry 53C21, 53C23
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

On the geometry at infinity of manifolds with linear volume growth and nonnegative Ricci curvature
von: Zhu, Xingyu
Veröffentlicht: (2023)

Nonexistence of the metric with positive intermediate curvatures on manifolds with boundary
von: Chen, Jingche, et al.
Veröffentlicht: (2025)

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay
von: Chen, Shuli
Veröffentlicht: (2025)

Smoothness of submetries
von: Lytchak, Alexander, et al.
Veröffentlicht: (2024)

Gromov-Hausdorff limit of orthonormal frame bundles of non-collapsed manifolds with bounded Ricci curvature
von: Si, Cuifang, et al.
Veröffentlicht: (2026)

Geometry of left-invariant vector fields on Lie groups
von: Foka, M. L., et al.
Veröffentlicht: (2025)

A lower bound for the curvature integral under an upper curvature bound
von: Fujioka, Tadashi
Veröffentlicht: (2023)

Non-collapsed eGH convergence and dimension
von: Núñez-Zimbrón, Jesús, et al.
Veröffentlicht: (2025)

Positive Scalar Curvature Meets Ricci Limit Spaces
von: Wang, Jinmin, et al.
Veröffentlicht: (2022)

Torus covers with controlled volume and diameter
von: Zamora, Sergio
Veröffentlicht: (2025)

Topological rigidity of small RCD(K,N) spaces with maximal rank
von: Zamora, Sergio, et al.
Veröffentlicht: (2024)

Extremal subsets in geodesically complete spaces with curvature bounded above
von: Fujioka, Tadashi
Veröffentlicht: (2022)

Cohomogeneity one RCD-spaces
von: Corro, Diego, et al.
Veröffentlicht: (2024)

Submetry onto one-dimensional space
von: Sukhorebska, Darya
Veröffentlicht: (2026)

Euler characteristics of collapsing Alexandrov spaces
von: Fujioka, Tadashi
Veröffentlicht: (2022)

Noncritical maps on geodesically complete spaces with curvature bounded above
von: Fujioka, Tadashi
Veröffentlicht: (2021)

Positive curvature conditions on contractible manifolds
von: Sweeney Jr, Paul
Veröffentlicht: (2025)

Rigidity for Einstein manifolds under bounded covering geometry
von: Si, Cuifang, et al.
Veröffentlicht: (2024)

Extremality and rigidity for scalar curvature in dimension four
von: Bettiol, Renato G., et al.
Veröffentlicht: (2022)

Two-dimension vanishing, splitting and positive scalar curvature
von: Zhu, Xingyu
Veröffentlicht: (2023)

Urysohn width of hypersurfaces and positive macroscopic scalar curvature
von: Sardà, Teo Gil Moreno de Mora
Veröffentlicht: (2025)

Complete 3-manifolds of positive scalar curvature with quadratic decay
von: Balacheff, Florent, et al.
Veröffentlicht: (2024)

Volume growth functions of complete Riemannian manifolds with positive scalar curvature
von: Das, Anushree, et al.
Veröffentlicht: (2024)

New Curvature Conditions for the Bochner Technique
von: Petersen, Peter, et al.
Veröffentlicht: (2019)

How many points in a point cloud is sufficient for accurate estimation of the curvature
von: Mirzaie, R.
Veröffentlicht: (2025)

On distance estimates for complete manifolds with lower scalar curvature bounds
von: Liu, Daoqiang
Veröffentlicht: (2024)

Precompactness of domains with lower Ricci curvature bound under Gromov-Hausdorff topology
von: Xu, Shicheng
Veröffentlicht: (2023)

Isometric Rigidity of Metric Constructions with respect to Wasserstein Spaces
von: Che, Mauricio, et al.
Veröffentlicht: (2024)

K-cowaist of manifolds with boundary
von: Baer, Christian, et al.
Veröffentlicht: (2023)

Scalar and mean curvature comparison via the Dirac operator
von: Cecchini, Simone, et al.
Veröffentlicht: (2021)

Myers-Steenrod Theorems for Metric and Singular Riemannian Foliations
von: Corro, Diego, et al.
Veröffentlicht: (2024)

A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture
von: Rosenberg, Steven, et al.
Veröffentlicht: (2024)

Huber Theorem revisited in dimensions 2 and 4
von: Laurain, Paul, et al.
Veröffentlicht: (2025)

The Weyl problem of isometric immersions revisited
von: Li, Siran
Veröffentlicht: (2020)

Volume growth on manifolds with more than one end
von: Das, Anushree, et al.
Veröffentlicht: (2023)

New Heintze-Karcher type inequalities in sub-static warped product manifolds
von: Li, Haizhong, et al.
Veröffentlicht: (2025)

Collapsing three-dimensional Alexandrov spaces with boundary
von: Mitsuishi, Ayato, et al.
Veröffentlicht: (2024)

Alexandrov meets Kirszbraun
von: Alexander, Stephanie, et al.
Veröffentlicht: (2010)

Length of closed geodesics on Riemannian manifolds with good covers
von: Zhu, Zhifei
Veröffentlicht: (2024)

Positive biorthogonal curvature on $S^2 \times T^2$ via affine connection
von: Pigazzini, Alexander
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	"2d78db941e90c22ca322bd60c2a2e979"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790854524.0572 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "2d78db941e90c22ca322bd60c2a2e979" ]`]
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=2d78db941e90c22ca322bd60c2a2e979"
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	"48542"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2308_03184/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2308_03184/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790854524.0524
REQUEST_TIME	1790854524

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler