Results 41 to 50 of about 1,619 (92)

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

Some differential operators in the symmetric bundle

, 2017
Some natural differential operators in the bundles of symmetric tensors and symmetric tensors with values in the tangent bundle are investigated. Applications in geometry, physics and tomography are also reviewed.
A. Kimaczyńska
semanticscholar   +1 more source

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

A non-existence result for a generalization of the equations of the conformal method in general relativity

, 2012
The constraint equations of general relativity can in many cases be solved by the conformal method. We show that a slight modification of the equations of the conformal method admits no solution for a broad range of parameters.
Emmanuel Humbert, Isenberg J, Mattias Dahl, Maxwell D, Romain Gicquaud   +4 more
core   +3 more sources

Estimates for the first eigenvalue for p-Laplacian with mixed boundary conditions

, 2018
In this article, we consider eigenvalue problems on domains with an interior hole. Precisely, we show a Cheng-type inequality on manifolds, and certain Faber-Krahn inequalities on space forms.
Kui Wang
semanticscholar   +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  

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

Heat flow method to Lichnerowicz type equation on closed manifolds

, 2010
In this paper, we establish existence results for positive solutions to the Lichnerowicz equation of the following type in closed manifolds -\Delta u=A(x)u^{-p}-B(x)u^{q},\quad in\quad M, where $p>1, q>0$, and $A(x)>0$, $B(x)\geq0$ are given smooth ...
D.H. Sattinger, E. Hebey, J. Isenberg, L. Ma, Li Ma, O. Druet, Th. Aubin, Xiao Tang, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Du, Yuhua Sun   +11 more
core   +1 more source