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Bibliographic Details
Main Authors:	Assimos, Renan, Gui, Yaoting, Jost, Jürgen
Format:	Preprint
Published:	2023
Subjects:	Differential Geometry Analysis of PDEs Metric Geometry 53C17, 31E05, 35D30, 35B45, 35B65, 51F99
Online Access:	https://arxiv.org/abs/2312.17112
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The Smooth Power of the "Neandertal Method"
by: Montag, Aaron, et al.
Published: (2025)

The Liouville theorem for discrete symmetric averaging operators
by: Adamowicz, Tomasz, et al.
Published: (2022)

On two notions of curvature on singular surfaces
by: Marot, Maxime
Published: (2025)

Magnitude and matrix inequalities
by: Gomi, Kiyonori, et al.
Published: (2025)

Gradient solitons on statistical manifolds
by: Blaga, Adara M., et al.
Published: (2020)

Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold
by: Blaga, Adara M.
Published: (2020)

On an area-preserving inverse curvature flow for plane curves
by: Sun, Zezhen, et al.
Published: (2025)

Rigidity of ideal symmetric sets
by: Stadler, Stephan
Published: (2024)

Remarks on almost Riemann solitons with gradient or torse-forming vector field
by: Blaga, Adara M.
Published: (2020)

Delayed parabolic regularity for curve shortening flow
by: Sobnack, Arjun, et al.
Published: (2024)

A new proof of the Willmore inequality via a divergence inequality
by: Cederbaum, Carla, et al.
Published: (2024)

Rigidity results for the capillary overdetermined problem
by: Lian, Yuanyuan, et al.
Published: (2025)

Geodesic Equations on asymptotically locally Euclidean Kähler manifolds
by: Yao, Qi
Published: (2023)

On face angles of tetrahedra with a given base
by: Nikitenko, E. V., et al.
Published: (2025)

Geodesics on Grushin spaces
by: Albert, Michael, et al.
Published: (2025)

Glued spaces and lower Ricci curvature bounds
by: Ketterer, Christian
Published: (2023)

Symmetry and classification of solutions to an integral equation in the Heisenberg group $\mathbb{H}^n$
by: Prajapat, Jyotshana V., et al.
Published: (2024)

Generalized Voronoi Diagrams and Lie Sphere Geometry
by: Edwards, John, et al.
Published: (2024)

Submanifolds with boundary in sub-Riemannian Heisenberg Groups
by: Di Marco, Marco, et al.
Published: (2025)

The Harnack inequality without convexity for curve shortening flow
by: Sobnack, Arjun, et al.
Published: (2026)

Harmonic maps to Hadamard spaces and a universal higher Teichmüller space
by: Riestenberg, J. Maxwell, et al.
Published: (2025)

Clairaut anti-invariant Riemannian maps with Kähler and Ricci soliton structures
by: Yadav, Jyoti, et al.
Published: (2024)

Plateau flow or the heat flow for half-harmonic maps
by: Struwe, Michael
Published: (2022)

Examples of tangent cones of non-collapsed Ricci limit spaces
by: Reiser, Philipp
Published: (2024)

Regularity for quasilinear elliptic equations in metric measure spaces
by: Schulz, Simon, et al.
Published: (2025)

Extending Bilipschitz Mappings between Separated Nets
by: Dymond, Michael, et al.
Published: (2025)

Foliation of constant harmonic mean curvature surfaces in asymptotic Schwarzschild spaces
by: Gui, Yaoting, et al.
Published: (2024)

A delayed interior area-to-height estimate for the Curve Shortening Flow
by: Sobnack, Arjun
Published: (2025)

Fully non-linear elliptic equations on compact hyperkähler manifolds
by: Gentili, Giovanni, et al.
Published: (2024)

The rectifiable rectangular peg problem
by: Asano, Tomohiro, et al.
Published: (2024)

Characterization of higher rank via affine maps
by: Lenze, David
Published: (2025)

Equilibria in non-Euclidean geometries
by: Lángi, Z., et al.
Published: (2026)

Some classes of minimal surfaces in the $3$-space with $2m$-norm
by: Sakaki, Makoto, et al.
Published: (2024)

On CAT($κ$) surfaces
by: Chowdhury, Saajid, et al.
Published: (2023)

Rotational surfaces in a normed 3-space whose principal curvatures satisfy a linear relation
by: Sakaki, Makoto, et al.
Published: (2024)

Desargues's and Pappus's hexagon theorems on translation-type surfaces in Thurston geometries
by: Szirmai, Jenő
Published: (2026)

Interior angle sums of geodesic triangles and translation-like isoptic surfaces in Sol geometry
by: Csima, Géza, et al.
Published: (2024)

Translation-like Apollonius and triangular surfaces in non-constant curvature Thurston geometries
by: Csima, Géza, et al.
Published: (2024)

Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds
by: Dong, Weisong, et al.
Published: (2025)

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// 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'

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