Results 31 to 40 of about 1,557,823 (130)

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

On Non‐Compact Extended Bach Solitons

open access: yesMathematische Nachrichten, Volume 299, Issue 5, Page 1140-1151, May 2026.
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley   +1 more source

A study on generalized Einstein tensor for an almost pseudo-ricci symmetric manifold

open access: yes, 2022
The object of the paper is to study the generalized Einstein tensor G(X,Y) on almost pseudo-Ricci symmetric manifolds, A(PRS)n. Considering the generalized Einstein tensor G(X,Y) as conservative, cyclic parallel and Codazzi type, it is investigated the ...
YILMAZ, HÜLYA
core  

Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley   +1 more source

On weakly $\phi $-symmetric Kenmotsu Manifolds

open access: yes, 2012
summary:The object of the present paper is to study weakly $\phi $-symmetric and weakly $\phi $-Ricci symmetric Kenmotsu manifolds. It is shown that weakly $\phi $-symmetric and weakly $\phi $-Ricci symmetric Kenmotsu manifolds are $\eta ...
Hui, Shyamal Kumar
core   +1 more source

Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions

open access: yes, 2021
In this work, the cases of non-integrable distributions in a Riemannian manifold with the first generalized semi-symmetric non-metric connection and the second generalized semi-symmetric non-metric connection are discussed.
Tong Wu, Yong Wang
core   +1 more source

Lorentzian homogeneous structures with indecomposable holonomy

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley   +1 more source

On Weakly Symmetric and Weakly Conformally Symmetric Spaces Admitting Veblen Identities [PDF]

open access: yes, 2011
In the present paper some properties involving curvature tensor,conformal curvature tensor, Ricci tensor and scalar curvature, on weakly symmetric, weakly conformally symmetric and pseudo symmetric spaces are ...
Hari Baskar, R.   +4 more
core   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Weakly cyclic Ricci symmetric manifolds admitting semi-symmetric metric connection

open access: yes, 2011
In this paper the definition of weakly cyclic Ricci symmetric manifolds admitting semi-symmetric metric connection is given and its applications to the general relativity and cosmology are investigated.
Das, Lovejoy S. K.   +2 more
core   +1 more source

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