Optimal Synthesis in a Radially Symmetric Grushin Space

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autore principale:	Albert, Michael
Natura:	Preprint
Pubblicazione:	2026
Soggetti:	Differential Geometry Primary: 53C17 Secondary: 53C22, 70H20
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Stability of the Injectivity Radius and the Cut Locus of Submanifolds under Perturbations
di: Bhowmick, Aritra
Pubblicazione: (2026)

The Ricci-flatness that lurks in weight
di: Conti, Diego
Pubblicazione: (2024)

Counting geodesics on compact symmetric spaces
di: Seco, Lucas, et al.
Pubblicazione: (2022)

On Ricci Solitons with Isoparametric Potential Functions
di: Tran, Hung, et al.
Pubblicazione: (2025)

Abelian subgroups of the fundamental group of a space with no conjugate points
di: Dibble, James
Pubblicazione: (2018)

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

Vacuum Static Spaces with Positive Isotropic Curvature
di: Hwang, Seungsu, et al.
Pubblicazione: (2021)

Equivariant Smoothing Processes on Currents and Spaces with Bounded Curvature
di: Gómez, Andrés Ahumada
Pubblicazione: (2024)

The Minimal Polynomial of a Riemannian C_0-Space
di: Jentsch, Tillmann
Pubblicazione: (2026)

On the sub-Riemannian geometry of the quaternionic Heisenberg group
di: Kim, Joonhyung, et al.
Pubblicazione: (2026)

Compact flat manifolds and reducibility
di: Derdzinski, Andrzej, et al.
Pubblicazione: (2023)

The completeness problem on 3-dimensional non-unimodular Lie groups
di: Chaib, Salah, et al.
Pubblicazione: (2025)

Visibility in the Boolean Model on Harmonic Manifolds
di: Hashorva, Enkelejd, et al.
Pubblicazione: (2026)

Curvature-dimension condition of sub-Riemannian $α$-Grushin half-spaces
di: Borza, Samuël, et al.
Pubblicazione: (2024)

Balanced and pluriclosed metrics on real semisimple Lie groups
di: Kwong, Joseph
Pubblicazione: (2026)

Nonpositively curved surfaces are Loewner
di: Katz, Mikhail G., et al.
Pubblicazione: (2024)

Lagrangian metric geometry with Riemannian bounds
di: Chassé, Jean-Philippe
Pubblicazione: (2024)

Distance from a Finsler Submanifold to its Cut Locus and the Existence of a Tubular Neighborhood
di: Bhowmick, Aritra, et al.
Pubblicazione: (2024)

On the Focal Locus of Submanifolds of a Finsler Manifold
di: Bhowmick, Aritra, et al.
Pubblicazione: (2024)

On the Cut Locus of Submanifolds of a Finsler Manifold
di: Bhowmick, Aritra, et al.
Pubblicazione: (2023)

Equivalence of sub-Laplacian on Polarized groups
di: Kijowski, Antoni, et al.
Pubblicazione: (2024)

Nijenhuis geometry of parallel tensors
di: Derdzinski, Andrzej, et al.
Pubblicazione: (2024)

Euler Characteristic of Closed Manifolds with Almost Nonnegative Curvature Operator
di: Cai, Jing-Bin
Pubblicazione: (2026)

Rigidity of compact rank one symmetric spaces
di: Connell, Chris, et al.
Pubblicazione: (2024)

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

Note on geodesics of cotangent bundle with Berger-type deformed Sasaki metric over Kählerian manifold
di: Zagane, Abderrahim
Pubblicazione: (2023)

Energy-minimizing maps from manifolds with nonnegative Ricci curvature
di: Dibble, James
Pubblicazione: (2018)

Reduction of Poisson manifolds with Hamiltonian Lie algebroids
di: Hirota, Yuji, et al.
Pubblicazione: (2024)

Conformal mappings on the Grushin plane
di: Walicki, Marcin
Pubblicazione: (2023)

On local rigidity theorems with respect to the scalar curvature
di: Cheng, Liang
Pubblicazione: (2023)

The Choreography of Geodesics in SOL
di: Troyanov, Marc
Pubblicazione: (2026)

Minimal Polynomials of Generalized Heisenberg Groups
di: Jentsch, Tillmann
Pubblicazione: (2026)

$η$-Einstein Sasakian Lie algebras
di: Andrada, Adrián M., et al.
Pubblicazione: (2025)

A Basmajian-type inequality for Riemannian surfaces
di: Balacheff, Florent, et al.
Pubblicazione: (2023)

The manifold of polygons degenerated to segments
di: Espinosa-García, Manuel A., et al.
Pubblicazione: (2024)

Hybrid connections on Hessian manifolds
di: Chéritat, Arnaud, et al.
Pubblicazione: (2023)

Total curvature of convex hypersurfaces in Cartan-Hadamard manifolds
di: Ghomi, Mohammad, et al.
Pubblicazione: (2026)

Compact Einstein-type manifolds with parallel Ricci tensor
di: Andrade, Maria, et al.
Pubblicazione: (2024)

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
di: Matveev, Vladimir S., et al.
Pubblicazione: (2023)

Scattering rigidity for standard stationary manifolds via timelike geodesics
di: Muñoz-Thon, Sebastián
Pubblicazione: (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
language	"it"
VUFIND_SESSION	"d64876dea6e18d67dffec00fa77205f4"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790860215.0532 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "d64876dea6e18d67dffec00fa77205f4" ]`]
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	"language=it; VUFIND_SESSION=d64876dea6e18d67dffec00fa77205f4; 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	"216.73.216.147"
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	"63511"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_04201/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_04201/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790860215.0487
REQUEST_TIME	1790860215

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler