Results 51 to 60 of about 44,056 (114)

Riemannian curvature measures

, 2018
A famous theorem of Weyl states that if $M$ is a compact submanifold of euclidean space, then the volumes of small tubes about $M$ are given by a polynomial in the radius $r$, with coefficients that are expressible as integrals of certain scalar ...
Fu, Joseph H. G., Wannerer, Thomas
core  

A theorem concerning Fourier transforms: A survey

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source

On positive scalar curvature and moduli of curves

, 2018
In this article we first show that any finite cover of the moduli space of closed Riemann surfaces of genus $g$ with $g\geq 2$ does not admit any Riemannian metric $ds^2$ of nonnegative scalar curvature such that $ds^2 \succ ds_{T}^2$ where $ds_{T}^2$ is
Liu, Kefeng, Wu, Yunhui
core  

On Isosystolic Inequalities for T^n, RP^n, and M^3

, 2013
If a closed smooth n-manifold M admits a finite cover whose Z/2Z-cohomology has the maximal cup-length, then for any riemannian metric g on M, we show that the systole Sys(M,g) and the volume Vol(M,g) of the riemannian manifold (M,g) are related by the ...
Nakamura, Kei
core  

M\"obius and Laguerre geometry of Dupin Hypersurfaces

, 2015
In this paper we show that a Dupin hypersurface with constant M\"{o}bius curvatures is M\"{o}bius equivalent to either an isoparametric hypersurface in the sphere or a cone over an isoparametric hypersurface in a sphere.
Li, Tongzhu, Qing, Jie, Wang, Changping
core  

Mirror Descent and Exponentiated Gradient Algorithms Using Trace-Form Entropies. [PDF]

Entropy (Basel)
Cichocki A, Tanaka T, Nielsen F, Cruces S.   +3 more
europepmc   +1 more source

Quasi Sasakian manifold endowed with vanishing pseudo quasi conformal curvature tensor. [PDF]

MethodsX
AlHusseini FH, Abood HM.
europepmc   +1 more source

Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]

Manuscr Math
Kunzinger M, Ohanyan A, Vardabasso A.
europepmc   +1 more source

Revisiting Volterra defects: geometrical relation between edge dislocations and wedge disclinations. [PDF]

R Soc Open Sci
Kobayashi S, Takemasa K, Tarumi R.
europepmc   +1 more source

A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D. [PDF]

Arch Ration Mech Anal
Julin V, Morini M, Oronzio F, Spadaro E.
europepmc   +1 more source