Results 31 to 40 of about 97 (96)

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

Some New Characterizations of Trivial Ricci–Bourguignon Solitons

Journal of Mathematics, Volume 2025, Issue 1, 2025.
A Ricci–Bourguignon soliton is a self‐similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing. Each trivial Ricci–Bourguignon soliton is an Einstein manifold.
Hana Al-Sodais, Nasser Bin Turki, Sharief Deshmukh, Bang-Yen Chen, Hemangi Madhusudan Shah, Santi Spadaro   +5 more
wiley   +1 more source

Microlocal Approach to Tensor Tomography and Boundary and Lens Rigidity [PDF]

, 2008
2000 Mathematics Subject Classification: 53C24, 53C65, 53C21.This is a survey of the recent results by the author and Gunther Uhlmann on the boundary rigidity problem and on the associated tensor tomography problem.Author partly supported by NSF Grant ...
Stefanov, Plamen
core  

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

© Hindawi Publishing Corp. SKEW-SYMMETRIC VECTOR FIELDS ON A CR-SUBMANIFOLD OF A PARA-KÄHLERIAN MANIFOLD [PDF]

, 2003
We deal with a CR-submanifold M of a para-Kählerian manifold M ̃ , which carries a J-skew-symmetric vector field X. It is shown that X defines a global Hamiltonian of the symplectic form Ω onM and JX is a relative infinitesimal automorphism of Ω.
Radu Rosca, Adela Mihai
core  

Nonlinear Obata type equation on Finsler manifolds without boundary

Open Mathematics
We show that if there is a nonconstant function f ∈ C 1,α (M) satisfying the Obata equation on a Finsler n-manifold (M, F), then (M, F) is isometric to a Finsler n-sphere.
Wang Huarong
doaj   +1 more source

Classification results of Liouville equations and rigidity of Riemannian surfaces

Advanced Nonlinear Studies
We study the Liouville equation △u + e 2u = 0 in a Riemannian surface (M, g) with nonnegative Ricci curvature. Under some asymptotic lower bound assumptions, we classify all the solutions to this equation, meanwhile we obtain the rigidity results for ...
Ou Qianzhong
doaj   +1 more source

On minimal hypersurfaces of nonnegatively Ricci curved manifolds

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 573-578, 1993.
Yoe Itokawa
wiley   +1 more source

α-Mean curvature flow of non-compact complete convex hypersurfaces and the evolution of level sets

Advances in Nonlinear Analysis
We consider the α\alpha -mean curvature flow for convex graphs in Euclidean space. Given a smooth, complete, strictly convex, non-compact initial hypersurface over a strictly convex projected domain, we derive uniform curvature bounds, which are ...
Kang Hyunsuk, Lee Ki-Ahm, Lee Taehun
doaj   +1 more source

A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space [PDF]

, 2007
We obtain a gradient estimate for the Gauss maps from complete spacelike constant mean curvature hypersurfaces in Minkowski space into the hyperbolic space.
Huai-Dong Cao, Ying Shen, Shunhui Zhu
core