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- Title
Ricci Soliton of CR -Warped Product Manifolds and Their Classifications.
- Authors
Li, Yanlin; Srivastava, Sachin Kumar; Mofarreh, Fatemah; Kumar, Anuj; Ali, Akram
- Abstract
In this article, we derived an equality for CR -warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form. We derived the necessary conditions of a CR -warped product submanifolds in K a ¨ hler manifold to be an Einstein manifold in the impact of gradient Ricci soliton. Some classification of CR -warped product submanifolds in the K a ¨ hler manifold by using the Euler–Lagrange equation, Dirichlet energy and Hamiltonian is given. We also derive some characterizations of Einstein warped product manifolds under the impact of Ricci Curvature and Divergence of Hessian tensor.
- Subjects
EINSTEIN, Albert, 1879-1955; EINSTEIN manifolds; EULER-Lagrange equations; LAGRANGE equations; SUBMANIFOLDS; CLASSIFICATION; CURVATURE
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 5, p976
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15050976