Results 81 to 90 of about 87,606 (230)

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli, Marco Pozzetta, Daniele Semola   +2 more
wiley   +1 more source

A decomposition analysis of Weyl's curvature tensor via Berwald’s first and second order derivatives in Finsler spaces

Journal of Innovative Applied Mathematics and Computational Sciences
This research paper explores the decomposition of Weyl's curvature tensor through the lens of Berwald’s first and second-order derivatives in Finsler spaces.
Adel Mohammed Ali Al-Qashbari, Moussa Haoues, Fahmi Ahmed Mothana AL-ssallal   +2 more
doaj   +1 more source

Non-Riemannian geometry of M-theory

Journal of High Energy Physics, 2019
We construct a background for M-theory that is moduli free. This background is then shown to be related to a topological phase of the E8(8) exceptional field theory (ExFT).
David S. Berman, Chris D. A. Blair, Ray Otsuki   +2 more
doaj   +1 more source

Riemannian geometry of Lie algebroids

Journal of the Egyptian Mathematical Society, 2011
typos corrected references ...
openaire   +3 more sources

On classification of global dynamics for energy‐critical equivariant harmonic map heat flows and radial nonlinear heat equation

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1783-1842, September 2025.
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley   +1 more source

Curvature and Concentration of Hamiltonian Monte Carlo in High Dimensions [PDF]

, 2015
In this article, we analyze Hamiltonian Monte Carlo (HMC) by placing it in the setting of Riemannian geometry using the Jacobi metric, so that each step corresponds to a geodesic on a suitable Riemannian manifold.
Holmes, Susan, Rubinstein-Salzedo, Simon, Seiler, Christof   +2 more
core  

On the essential constants in Riemannian geometries [PDF]

Journal of Mathematical Physics, 2006
In the present work the problem of distinguishing between essential and spurious (i.e., absorbable) constants contained in a metric tensor field in a Riemannian geometry is considered. The contribution of the study is the presentation of a sufficient and necessary criterion, in terms of a covariant statement, which enables one to determine whether a ...
openaire   +5 more sources

Spectral Normalization and Voigt–Reuss net: A universal approach to microstructure‐property forecasting with physical guarantees

GAMM-Mitteilungen, Volume 48, Issue 3, September 2025.
Abstract Heterogeneous materials are crucial to producing lightweight components, functional components, and structures composed of them. A crucial step in the design process is the rapid evaluation of their effective mechanical, thermal, or, in general, constitutive properties.
Sanath Keshav, Julius Herb, Felix Fritzen   +2 more
wiley   +1 more source

On the Riemannian geometry of Seiberg-Witten moduli spaces

, 2008
We construct natural Riemannian metrics on Seiberg-Witten moduli spaces and study their ...
Abbati, Babadshanjan, Bradlow, Bradlow, Bradlow, Cheeger, Christian Becker, Friedman, García-Prada, García-Prada, García-Prada, Groisser, Groisser, Groisser, Groisser, Habermann, Habermann, Hitchin, Hitchin, Hitchin, Huybrechts, Kazdan, Kobayashi, Lübke, Maeda, Maeda, Maeda, Nicolaescu, Okonek, Okonek, Subramaniam, Witten   +31 more
core   +1 more source

A UNITARY INVARIANT IN RIEMANNIAN GEOMETRY [PDF]

International Journal of Geometric Methods in Modern Physics, 2008
We introduce an invariant of Riemannian geometry which measures the relative position of two von Neumann algebras in Hilbert space, and which, when combined with the spectrum of the Dirac operator, gives a complete invariant of Riemannian geometry. We show that the new invariant plays the same role with respect to the spectral invariant as the Cabibbo–
openaire   +3 more sources