Results 31 to 40 of about 1,492 (57)
A note on the Almost Schur lemma on smooth metric measure spaces
, 2018 In this paper, we prove almost Schur Lemma on closed smooth metric measure spaces, which implies the results of X.
Chen, Jui-Tang
core +1 more source
On the topology of manifolds with positive isotropic curvature
, 2008 We show that a closed orientable Riemannian $n$-manifold, $n \ge 5$, with positive isotropic curvature and free fundamental group is homeomorphic to the connected sum of copies of $S^{n-1} \times S^1$.Comment: 5 Pages. To appear in Proc.
Gadgil, Siddartha, Seshadri, Harish
core +1 more source
Advances in Nonlinear Analysis, 2014 Given a bounded open regular set Ω of ℝ2$\mathbb {R}^2$, q1,...,qK∈Ω${q_1, \ldots , q_K \hspace*{-0.85358pt}\in \hspace*{-0.85358pt} \Omega }$, a regular bounded function ϱ:Ω→[0,+∞)${\varrho \hspace*{-0.56905pt}:\hspace*{-0.56905pt} \Omega \hspace*{-0 ...
Baraket Sami, Ouni Taieb
doaj +1 more source
Submanifolds of Euclidean space with parallel mean curvature vector
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 533-536, 1991., 1990 The object of the paper is to study some compact submanifolds in the Euclidean space Rn whose mean curvature vector is parallel in the normal bundle. First we prove that there does not exist an n‐dimensional compact simply connected totally real submanifold in R2n whose mean curvature vector is parallel.
Tahsin Ghazal, Sharief Deshmukh
wiley +1 more source
A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers
, 2015 We show in this short note that if a rational linear combination of Pontrjagin numbers vanishes on all simply-connected $4k$-dimensional closed connected and oriented spin manifolds admitting a Riemannian metric whose Ricci curvature is nonnegative and ...
Li, Ping
core +1 more source
On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
doaj +1 more source
Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces
Analysis and Geometry in Metric Spaces, 2013 The metric Markov cotype of barycentric metric spaces is computed, yielding the first class of metric spaces that are not Banach spaces for which this bi-Lipschitz invariant is understood.
Mendel Manor, Naor Assaf
doaj +1 more source
A note on negative isotropic curvature
, 2003 We prove that any compact four-manifold admits a Riemannian metric with negative isotropic curvature in the sense of Micallef and Moore.Comment: 6 Pages.
Seshadri, Harish
core +3 more sources
Bakry-Émery Conditions on Almost Smooth Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2018 In this short note, we give a sufficient condition for almost smooth compact metric measure spaces to satisfy the Bakry-Émery condition BE(K, N). The sufficient condition is satisfied for the glued space of any two (not necessary same dimensional) closed
Honda Shouhei
doaj +1 more source
Riemann Solitons on Homogeneous Siklos Spacetimes
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari +3 more
wiley +1 more source