Results 11 to 20 of about 3,286,440 (286)

Geometric Inequalities for Warped Products in Riemannian Manifolds

Mathematics, 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   +4 more sources

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, Bang-Yen Chen, Oguzhan Bahadir   +2 more
doaj   +4 more sources

WARPED PRODUCTS IN RIEMANNIAN MANIFOLDS [PDF]

Bulletin of the Australian Mathematical Society, 2014
AbstractIn this paper we prove two inequalities relating the warping function to various curvature terms, for warped products isometrically immersed in Riemannian manifolds. This extends work by B. Y. Chen [‘On isometric minimal immersions from warped products into real space forms’, Proc. Edinb. Math. Soc.
Park, K. S.
core   +4 more sources

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

Mathematics, 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   +2 more sources

Curvature of multiply warped products [PDF]

Journal of Geometry and Physics, 2005
28 pages, corrected typos, to appear in Journal of Geometry and ...
Dobarro, Fernando, Ünal, Bülent
openaire   +3 more sources

DOUBLY WARPED PRODUCTS IN S-SPACE FORMS [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
Recently, the author established a general inequality for doubly warped products in arbitrary Riemannian manifolds [14]. In the present paper, we obtain a similar inequality for doubly warped products isometrically immersed in S-space forms.
Andreea Olteanu
doaj   +2 more sources

On doubly warped products

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
Summary: We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product.
Aydın, Sibel Gerdan, Taştan, Hakan Mete   +1 more
openaire   +6 more sources

Homology groups in CR-warped products of complex space forms [PDF]

Heliyon
In the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li, Akram Ali, Nadia Alluhaibi, Fatemah Mofarreh, Cenap Ozel   +4 more
doaj   +2 more sources

Multiply Warped Products with a Semisymmetric Metric Connection [PDF]

Abstract 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   +2 more sources

New Bernstein Type Results in Weighted Warped Products

Journal of Mathematics, 2021
In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products.
Ning Zhang
doaj   +2 more sources