Some solitons on anti-invariant submanifold of LP-Kenmotsu manifold admitting Zamnovoy connection

Articles in Press

Document Type : Research Paper

Authors

1 Raiganj Surendranath Mahavidyalaya

2 Department of Mathematics, Raiganj Surendranath Mahavidyalaya, Raiganj, west Bengal, India

Abstract

In this paper we prove some curvature properties of anti-invariant submanifold of Lorentzian para-Kenmotsu manifold (briefly, LP-Kenmotsu manifolds) with respect to Zamkovoy connection (∇∗). Next, we study Einstein soliton on anti-invariant submanifold of LP-Kenmotsu manifold with respect to Zamkovoy connection. Further, we study η-Einstein soliton on this submanifold with respect to Zamkovoy connection under different curvature conditions. Finally, we give an example of anti-invariant submanifold of 5-dimensional LP-Kenmotsu manifold admitting η-Einstein soliton with respect to ∇∗ and verify a relation on it.

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References

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Journal of Hyperstructures

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Available Online from 08 December 2024

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