Results 11 to 20 of about 5,816,652 (357)

Geometric Inequalities for Warped Products in Riemannian Manifolds

open access: yesMathematics, 2021
Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
doaj   +5 more sources

Sequential Warped Products and Their Applications

open access: yesInternational Electronic Journal of Geometry, 2021
In this paper, we study the sequential warped product manifolds, which are the natural generalizations of singly warped products. Many spacetime models that characterize the universe and the solutions of Einstein's field equations are known to have this ...
Sinem GÜLER, Guler, Sinem
core   +7 more sources

Doubly warped products

open access: yesDifferential Geometry and Its Applications, 2001
In this paper we study geodesic completeness of Riemannian doubly warped products and Lorentzian doubly warped products. We give necessary conditions for generalized Robertson–Walker space-times with doubly warped product spacial parts to be globally ...
Bulent Ünal
exaly   +3 more sources

Pseudo-projective Tensor on Sequential Warped Products [PDF]

open access: yesMediterranean Journal of Mathematics, 2023
The main objective of this paper is to study pseudo-projective tensor on sequential warped products and then to obtain necessary and sufficient conditions for a sequential warped product to be pseudo-projectively flat.
Sinem GÜLER, Bulent Ünal
exaly   +3 more sources

A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold

open access: yesMathematics, 2020
In the early 20th century, B.-Y. Chen introduced the concept of CR-warped products and obtained several fundamental results, such as inequality for the length of second fundamental form. In this paper, we obtain B.-Y.
Siraj Uddin, M. Z. Ullah
doaj   +4 more sources

Multiply Warped Products with a Semisymmetric Metric Connection [PDF]

open access: goldAbstract and Applied Analysis, 2014
We study the Einstein multiply warped products with a semisymmetric metric connection and the multiply warped products with a semisymmetric metric connection with constant scalar curvature, and we apply our results to generalized Robertson-Walker space ...
Yong Wang
doaj   +4 more sources

Chen optimal inequalities of CR-warped products of generalized Sasakian space form

open access: yesJournal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui   +2 more
doaj   +3 more sources

Inverse curvature flows in Riemannian warped products [PDF]

open access: greenJournal of Functional Analysis, 2019
The long-time existence and umbilicity estimates for compact, graphical solutions to expanding curvature flows are deduced in Riemannian warped products of a real interval with a compact fibre.
Scheuer, Julian
core   +5 more sources

A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2017
À paraître dans Bulletin of the Australian Mathematical SocietyInternational audienceWe prove a DDVV inequality for submanifolds of warped products of the form I ×a M n (c) where I is an interval and M n (c) a real space form of curvature c.
Roth, J., Roth, Julien
core   +6 more sources

Warped products with special Riemannian curvature

open access: yesSociedade Brasileira De Matematica Boletim, Nova Serie, 2001
We study the geometry of particular classes of Riemannian manifolds obtained as warped products. We focus on the case of constant curvature which is completely classified and on the Einstein case.
M Bertola   +2 more
exaly   +4 more sources

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