Results 31 to 40 of about 1,536 (93)

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, Amirhesam Zaeim, Adele Alemahdi, Erhan Güler   +3 more
wiley   +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

2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi, Antonio Masiello   +3 more
wiley   +1 more source

Riemannian invariants for warped product submanifolds in Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} and their applications

Open Mathematics
This article investigates the geometric and topologic of warped product submanifolds in Riemannian warped product Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}}.
Li Yanlin, Alshehri Norah, Ali Akram
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

Lipschitz-Volume rigidity on limit spaces with Ricci curvature bounded from below

, 2014
We prove a Lipschitz-Volume rigidity theorem for the non-collapsed Gromov-Hausdorff limits of manifolds with Ricci curvature bounded from below.
Li, Nan, Wang, Feng
core   +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

Generalized quasi Yamabe gradient solitons

, 2016
We prove that a nontrivial complete generalized quasi Yamabe gradient soliton (M; g) must be a quasi Yamabe gradient soliton on each connected component of M and that a nontrivial complete locally conformally at generalized quasi Yamabe gradient soliton ...
de Oliveira, Hudson Pina, Neto, Benedito Leandro   +1 more
core   +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