Results 51 to 60 of about 5,816,652 (357)
A rigidity result for slice in warped products
We prove a new characterization of slices into some warped products in terms of higher order mean curvatures.
Roth, Julien
core +2 more sources
Bounds on volume growth of geodesic balls for Einstein warped products [PDF]
, 2014 The purpose of this note is to provide some volume estimates for Einstein warped products similar to a classical result due to Calabi and Yau for complete Riemannian manifolds with nonnegative Ricci curvature.
A. Barros, R. Batista, E. Ribeiro
openalex +3 more sources
Warped product space-times [PDF]
Classical and Quantum Gravity, 2017 Abstract Many classical results in relativity theory concerning spherically symmetric space-times have easy generalizations to warped product space-times, with a two-dimensional Lorentzian base and arbitrary dimensional Riemannian fibers. We first give a systematic presentation of the main geometric constructions, with emphasis on the
Xinliang An, Willie Wai Yeung Wong
openaire +2 more sources
Remarks on mean curvature flow solitons in warped products [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2018 We study some properties of mean curvature flow solitons in general Riemannian manifolds and in warped products, with emphasis on constant curvature and Schwarzschild type spaces.
G. Colombo, L. Mari, M. Rigoli
semanticscholar +1 more source
Geometry of pointwise CR-slant warped products in Kaehler manifolds
Revista de la Unión Matemática Argentina, 2020 We call a submanifold M of a Kaehler manifold M̃ a pointwise CR-slant warped product if it is a warped product, B×f Nθ, of a CR-product B = NT ×N⊥ and a proper pointwise slant submanifold Nθ with slant function θ, where NT and N⊥ are complex and totally ...
Bang‐Yen Chen, S. Uddin, F. Al-Solamy
semanticscholar +1 more source
Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds
Mathematics, 2019 Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui +2 more
doaj +1 more source
Ricci almost solitons on semi‐Riemannian warped products [PDF]
Mathematische Nachrichten, 2017 It is shown that a gradient Ricci almost soliton on a warped product, (Bn×hFm,g,f,λ)$\big (B^n\times _h F^m, g,f,\lambda \big )$ whose potential function f depends on the fiber, is either a Ricci soliton or λ is not constant and the warped product, the ...
V. Borges, K. Tenenblat
semanticscholar +1 more source
Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Mathematics, 2023 Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ is the Riemannian product of holomorphic and proper slant submanifolds and M⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B2×
Siraj Uddin, Bang-Yen Chen, Rawan Bossly
doaj +1 more source
On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]
Arab Journal of Mathematical Sciences, 2021 Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).
Siraj Uddin, Ion Mihai, Adela Mihai
doaj +1 more source
Conformal Metrics to a Product or Doubly Warped Product on S2×S2 and the Hopf Conjecture
Journal of Mathematics, 2022 Hopf’s well-known conjecture states that there exists no metric of positive sectional curvature in the product manifold S2×S2. In this paper, we show that the Hopf conjecture is true for conformal metrics to the product metric or doubly warped products ...
Thierno Seck, Athoumane Niang
doaj +1 more source