Results 271 to 280 of about 5,193,136 (315)

Information geometry of warped product spaces

Information Geometry, 2022
Information geometry is an important tool to study statistical models. There are some important examples in statistical models which are regarded as warped products. In this paper, we study information geometry of warped products.
Yasuaki Fujitani
semanticscholar   +1 more source

Einstein Poisson warped product space

Classical and quantum gravity, 2021
In this paper, we provide some results on Poisson manifold (M, Π) with contravariant Levi–Civita connection D associated to pair (Π, g). We introduce the notion of Einstein Poisson warped product space (M = B × f F, Π, g f ) (where Π = Π1 + Π2). Moreover,
B. Pal, Pankaj Kumar
semanticscholar   +1 more source

Exponential localization of Steklov eigenfunctions on warped product manifolds: the flea on the elephant phenomenon

Annales mathématiques du Québec, 2021
This paper is devoted to the analysis of Steklov eigenvalues and Steklov eigenfunctions on a class of warped product Riemannian manifolds (M, g) whose boundary ∂M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}
Thierry Daud'e, B. Helffer, François Nicoleau   +2 more
semanticscholar   +1 more source

Hyperbolic Ricci solitons on sequential warped product manifolds

Filomat
We study hyperbolic Ricci solitons on sequential warped products. The necessary conditions are obtained for a hyperbolic Ricci soliton with the structure of a sequential warped product to be an Einstein manifold when we consider the potential field as
Kay Açıkgöz, Cihan Özgür
semanticscholar   +1 more source

On sequential warped product η-Ricci-Bourguignon solitons

Filomat
We investigate ?-Ricci-Bourguignon solitons structure on sequential warped product manifolds and prove that an ?-Ricci-Bourguignon soliton sequential warped manifold whose potential vector field is Killing or conformal must be a quasi-Einstein manifold ...
Moctar Traore, H. Taştan
semanticscholar   +1 more source

Multiply warped products

Journal of Geometry and Physics, 2000
The author first states covariant derivative formulas for multiply warped products and considers the geodesic equations for these spaces. Then he states some basic facts about causality of Lorentzian multiply products and studies Cauchy surfaces and global hyperbolicity.
openaire   +1 more source

Sequential warped product submanifolds having holomorphic, totally real and pointwise slant factors

Periodica Mathematica Hungarica, 2020
We introduce sequential warped product submanifolds of Kaehler manifolds, provide examples and establish Chen’s inequality for such submanifolds. The equality case is also studied.
B. Şahin
semanticscholar   +1 more source

Warped products with special Riemannian curvature

Boletim da Sociedade Brasileira de Matem�tica, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bertola, M., Gouthier, D.
openaire   +2 more sources

On warped product immersions

Journal of Geometry, 2005
In this paper the author studies some geometric properties of warped product immersions proving some geometric inequalities.
openaire   +2 more sources

Hypersurfaces in Warped Products

2016
A classical result of Alexandrov [10] states that a compact hypersurface with constant mean curvature embedded in Euclidean space must be a round sphere. The original proof is based on a clever use of the maximum principle for elliptic partial differential equations.
Luis J. Alías, Paolo Mastrolia, Marco Rigoli   +2 more
openaire   +1 more source