Three-Dimensional Almost Contact Metric Manifolds Revisited via the Newman-Penrose Formalism

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autore principale:	Matsuno, Satsuki
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	Differential Geometry
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

On Sasakian quasi-Killing spinors in three-dimensions
di: Matsuno, Satsuki, et al.
Pubblicazione: (2023)

The Penrose Inequality for Metrics with Singular Sets
di: Zhang, Huaiyu
Pubblicazione: (2024)

Almost Non-positive Kähler Manifolds
di: Zhang, Yuguang
Pubblicazione: (2024)

Weak Almost Contact Structures: a Survey
di: Rovenski, Vladimir
Pubblicazione: (2024)

About Signature-Change Metrics on Manifolds
di: Lafuente-López, Javier
Pubblicazione: (2026)

$L^{2}$-Hodge theory on Complete Almost Kähler Manifolds and the Hopf Conjecture
di: Huang, Teng, et al.
Pubblicazione: (2023)

Mass, Staticity, and a Riemannian Penrose Inequality for Weighted Manifolds
di: McCormick, Stephen
Pubblicazione: (2026)

Contact Whirl Curves in Sasakian Lorentzian 3-Manifolds
di: P., Luis E. Portilla, et al.
Pubblicazione: (2026)

Properties of Holomorphic $p$-Contact Manifolds
di: Kasuya, Hisashi, et al.
Pubblicazione: (2025)

The Penrose inequality in extrinsic geometry
di: Eichmair, Michael, et al.
Pubblicazione: (2024)

Cohn--Vossen-Type Inequalities for Three-Manifolds and Locally Conformally Flat Manifolds
di: Deng, Jialong
Pubblicazione: (2026)

Riemannian Penrose inequality in all dimensions
di: Bi, Yuchen, et al.
Pubblicazione: (2026)

One Dimensional Asymptotic Plateau Problem in $n$-Dimensional Asymptotically Conical Manifolds
di: Liu, Jiayin, et al.
Pubblicazione: (2025)

Newman--Penrose formalism in $3$-dimensional trans-Sasakian manifolds
di: Prachi, et al.
Pubblicazione: (2026)

An Almost Flat Spin$^c$ Manifold Bounds
di: Han, Fei, et al.
Pubblicazione: (2025)

Deformation of Kähler Metrics and an Eigenvalue Problem for the Laplacian on a Compact Kähler Manifold
di: Narita, Kazumasa
Pubblicazione: (2023)

Volumetric Parameterization for 3-Dimensional Simply-Connected Manifolds
di: Lyu, Zhiyuan, et al.
Pubblicazione: (2025)

A Note about Isotopy and Concordance of Positive Scalar Curvature Metrics on Compact Manifolds with Boundary
di: Carlotto, Alessandro, et al.
Pubblicazione: (2023)

Compactness of Conformal Metrics with $L^p$-Bounded $Q$-Curvature on Closed Smooth Riemannian Manifolds
di: Mcheik, Zeinab
Pubblicazione: (2026)

Aspherical 4-Manifolds, Complex Structures, and Einstein Metrics
di: Albanese, Michael, et al.
Pubblicazione: (2023)

Elementary Differential Singularities of Three-Dimensional Nijenhuis Operators
di: Akpan, Dinmukhammed, et al.
Pubblicazione: (2025)

On the Ubiquity of (Almost) Contact Structures in Hot MQCD at Intermediate Coupling
di: Misra, Aalok, et al.
Pubblicazione: (2022)

Rigidity of Translation Surfaces in the Three-Dimensional Sphere $\mathbb{S}^3$
di: Ferreira, Tarcios Andrey, et al.
Pubblicazione: (2025)

Almost Differentially Nondegenerate Nijenhuis Operators
di: Akpan, Dinmukhammed
Pubblicazione: (2025)

Almost Ricci solitons on Finsler spaces
di: Xia, Qiaoling
Pubblicazione: (2024)

The Geometry of Three-Forms on Symplectic Six-Manifolds
di: Fei, Teng
Pubblicazione: (2024)

Linear Quantitative Rigidity for Almost-CMC Surfaces
di: Bi, Yuchen, et al.
Pubblicazione: (2026)

Almost prescribing scalar curvature by mixed convex integration
di: Aliouane, Fatine, et al.
Pubblicazione: (2025)

Integral formulas in $h$-Almost Ricci-Bourguignon solitons
di: Bousso, Abdou, et al.
Pubblicazione: (2025)

Almost splitting and quantitative stratification for super Ricci flow
di: Kunikawa, Keita, et al.
Pubblicazione: (2023)

Almost rigidity results of Green functions with non-negative Ricci curvature
di: Honda, Shouhei
Pubblicazione: (2024)

On Deformations of Fano Manifolds
di: Cao, Huai-Dong, et al.
Pubblicazione: (2020)

An Introduction to Calabi-Yau Manifolds
di: Patterson, Aidan
Pubblicazione: (2025)

Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature
di: Huang, Hongzhi, et al.
Pubblicazione: (2026)

Almost splitting maps, transformation theorems and smooth fibration theorems
di: Huang, Hongzhi, et al.
Pubblicazione: (2022)

Log-Conformal Projective Manifolds
di: Corrêa, Maurício, et al.
Pubblicazione: (2026)

Reach of Segre-Veronese Manifolds
di: Breiding, Paul, et al.
Pubblicazione: (2023)

Ratio of Intrinsic Metric to Extrinsic Metric and Volume
di: Ceylan, Berk
Pubblicazione: (2025)

On a Variant of the Penrose Conjecture
di: Hirsch, Sven, et al.
Pubblicazione: (2026)

Geometry of Invariant Almost Semi Kähler Submanifolds of Flag Manifolds
di: da Silva, Neiton Pereira
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
ui	"standard"
VUFIND_SESSION	"b7e8b9addcb305bed95cae888fd4898f"
language	"it"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790888839.7886 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "b7e8b9addcb305bed95cae888fd4898f" ]`]
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; VUFIND_SESSION=b7e8b9addcb305bed95cae888fd4898f; language=it"
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	"216.73.217.142"
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	"3313"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2512_22444/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_22444/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790888839.7691
REQUEST_TIME	1790888839

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler