Results 61 to 70 of about 1,908 (95)

On area comparison and rigidity involving the scalar curvature [PDF]

open access: yes
In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
core  

On Doubly Warped Product Manifolds

open access: yes, 1998
We study the doubly warped product manifold M=B_h×_fF of Riemannian manifolds related to critical Riemannian metrics and conharmonic transformation, and investigate the conditions of M to be a warped product space or a Riemannian product.
Agaoka, Yoshio   +3 more
openaire   +2 more sources

Hessian Tensor and Standard Static Space-times

open access: yes, 2008
In this brief survey, we will remark the interaction among the Hessian tensor on a semi-Riemannian manifold and some of the several questions in Lorentzian (and also in semi-Riemannian) geometry where this 2-covariant tensor is involved.
Dobarro, Fernando, Unal, Bulent
core   +2 more sources

Doubly Warped Product Submanifolds of a Riemannian Manifold of Quasi-Constant Curvature

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2015
Abstract We establish a sharp inequality for a doubly warped product submanifold in a Riemannian manifold of quasi-constant curvature.
openaire   +3 more sources

Cohomogeneity one Ricci Solitons from Hopf Fibrations

open access: yes, 2019
This paper studies cohomogeneity one Ricci solitons. If the isotropy representation of the principal orbit $G/K$ consists of two inequivalent $Ad_K$-invariant irreducible summands, the existence of parameter families of non-homothetic complete steady and
Wink, Matthias
core  

Pointwise bi-slant doubly warped product submanifolds in para-Kaehler manifolds

open access: yesFilomat
In this article, we consider pointwise slant and pointwise bi-slant submanifolds whose ambient spaces are para-Kaehler manifolds. We prove that there exist pointwise bi-slant K =k2 K?1 ? k1 K?2 non-trivial doubly warped product type 1-2 submanifolds whose ambient spaces are para-Kaehler manifolds by constructing examples.
Sedat Ayaz, Yılmaz Gündüzalp
openaire   +1 more source

Geometric analysis of the pseudo-projective curvature tensor in doubly and twisted warped product manifolds

open access: yesAIMS Mathematics
<p>This study investigates the pseudo-projective curvature tensor within the framework of doubly and twisted warped product manifolds. It offers significant insights into the interaction between the pseudo-projective curvature tensor and both the base and fiber manifolds. The research highlights key geometric characteristics of the base and fiber
Ayman Elsharkawy   +3 more
openaire   +2 more sources

Pinching Results for Doubly Warped Products’ Pointwise Bi-Slant Submanifolds in Locally Conformal Almost Cosymplectic Manifolds with a Quarter-Symmetric Connection

open access: yesSymmetry
In this research paper, we establish geometric inequalities that characterize the relationship between the squared mean curvature and the warping functions of a doubly warped product pointwise bi-slant submanifold. Our investigation takes place in the context of locally conformal almost cosymplectic manifolds, which are equipped with a quarter ...
Md Aquib   +4 more
openaire   +1 more source

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