Results 11 to 20 of about 5,140,777 (272)
GEOMETRIC FLOWS ON WARPED PRODUCT MANIFOLD [PDF]
Taiwanese Journal of Mathematics, 2013 We derive one unified formula for Ricci curvature tensor on arbitrary warped product manifold by introducing a new notation for the lift vector and the Levi-Civita connection.This formula is helpful to further consider Ricci flow (RF) and hyperbolic geometric flow (HGF) and evolution equations on warped product manifold. We characterize the behavior of
LU Wei-jun
arxiv +7 more sources
On doubly warped product Finsler manifolds [PDF]
Nonlinear Analysis: Real World Applications, 2011 In this paper, we introduce horizontal and vertical warped product Finsler manifold. We prove that every C-reducible or proper Berwaldian doubly warped product Finsler manifold is Riemannian. Then, we find the relation between Riemmanian curvatures of doubly warped product Finsler manifold and its components, and consider the cases that this manifold ...
E. Peyghan, Akbar Tayebi
arxiv +5 more sources
On doubly warped product immersions [PDF]
Journal of Geometry, 2014 In this paper we study fundamental geometric properties of doubly warped product immersion which is an extension of warped product immersion. Moreover, we study geometric inequality for doubly warped products isometrically immersed in arbitrary Riemannian manifolds.
Morteza Faghfouri, Ayyoub Majidi
openaire +5 more sources
Poisson Doubly Warped Product Manifolds
Mathematics, 2023 This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel +2 more
doaj +2 more sources
Journal of Mathematics, 2021 In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh +3 more
doaj +2 more sources
Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms
Advances in Mathematical Physics, 2021 In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation.
Yanlin Li, Ali H. Alkhaldi, Akram Ali
doaj +2 more sources
Some Results on Warped Product Submanifolds of a Sasakian Manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We study warped product Pseudo-slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a Sasakian manifold in terms of the canonical structure 𝐹.
Siraj Uddin, V. A. Khan, Huzoor H. Khan
doaj +2 more sources
On homogeneous warped product Einstein metrics [PDF]
Bulletin of the London Mathematical Society, 2014 In this article we study homogeneous warped product Einstein metrics and its connections with homogeneous Ricci solitons. We show that homogeneous $(\lambda,n+m)$-Einstein manifolds (which are the bases of homogeneous warped product Einstein metrics) are
Lafuente, Ramiro A.
core +7 more sources
Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]
J Inequal Appl, 2018 In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.
Siddiqui AN, Shahid MH, Lee JW.
europepmc +6 more sources
Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
Journal of Mathematics, 2021 In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its ...
Yanlin Li +3 more
doaj +2 more sources