Biwarped product submanifolds with a slant base factor

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Keywords:

Biwarped product submanifold, slant distribution, invariant distribution, anti-invariant distribution, skew semi-invariant submanifold of order 1, locally product Riemannian manifold

Abstract

We study biwarped product submanifolds with a slant base factor in locally product Riemannian manifolds. We prove an existence theorem for such submanifolds. Then we give a necessary and sufficient condition for such a manifold to be a warped product. We establish a general inequality for such submanifolds. The equality case is also considered. Moreover, we give an application of this inequality.

JournalMIM_V5_I2_2022

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Published

2022-09-12

How to Cite

Gerdan Aydın, S., Taştan, H. M., Traore, M., & Ülker, Y. (2022). Biwarped product submanifolds with a slant base factor. International Journal of Maps in Mathematics, 5(2), 154–181. Retrieved from https://simadp.com/journalmim/article/view/121

Issue

Vol. 5 No. 2 (2022): International Journal of Maps in Mathematics

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Articles

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