Nandan Bhunia[a], Sampa Pahan[b] and Arindam Bhattacharyya[c]
Inequality for doubly warped product submanifolds of Riemannian manifold with mixed generalized quasi constant curvature
Pages: 375-387
Received: 11 August 2020
Accepted: 31 July 2024
Mathematics Subject Classification: 53C40, 53B25.
Keywords: Doubly warped product, mixed generalized quasi Einstein manifold, mixed generalized quasi constant curvature.
Authors address:
[a],[c]: Department of Mathematics, Jadavpur University, Kolkata-700032, India
[b]: Department of Mathematics, Mrinalini Datta Mahavidyapith, Kolkata-700051, India
Abstract: In this paper, we establish an inequality for the doubly warped product submanifolds of Riemannian manifold with mixed generalized quasi constant curvature. We also investigate its equality case. Finally, we construct a non trivial example of mixed generalized quasi Einstein manifold for its existence.