Research Article

Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds

Volume: 54 Number: 1 February 28, 2025
EN

Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds

Abstract

In this paper we introduce the concept of pointwise bi-slant submanifolds of locally product Riemannian manifolds and studied warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. We obtain some characterization results for warped products pointwise bi-slant submanifolds. Also, we provide some non-trivial examples of such warped product submanifolds.

Keywords

References

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  3. [3] M. Atçeken, Slant submanifolds of a Riemannian product manifold, Acta Math. Sci. Ser B Engl. Ed. 30(1), 215-224, 2010.
  4. [4] A. Bejancu, Semi-invariant submanifolds of locally product Riemannian manifolds, An. Univ. Timisoara. Ser Stiint. Math. 22, 3-11, 1984.
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  6. [6] J. L. Cabrerizo, A. Carriazo, L.M. Fernandez and M. Fernandez, Semi-Slant submanifolds of a Sasakian manifold, Geom. Dedicata. 78(2), 183-199, 1999.
  7. [7] B. Y. Chen, Slant immersions, Bull. Aust, Math. Soc. 41(1), 135-147, 1990.
  8. [8] B. Y. Chen, Geometry of warped product CR-submanifolds in Kaehler manifolds, Monatsh. Math. 133, 177-195, 2001.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Early Pub Date

April 14, 2024

Publication Date

February 28, 2025

Submission Date

November 28, 2022

Acceptance Date

February 22, 2024

Published in Issue

Year 2025 Volume: 54 Number: 1

APA
Majeed, P., & Lone, M. (2025). Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. Hacettepe Journal of Mathematics and Statistics, 54(1), 200-212. https://doi.org/10.15672/hujms.1211053
AMA
1.Majeed P, Lone M. Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. Hacettepe Journal of Mathematics and Statistics. 2025;54(1):200-212. doi:10.15672/hujms.1211053
Chicago
Majeed, Prınce, and Mehraj Lone. 2025. “Warped Product Pointwise Bi-Slant Submanifolds of Locally Product Riemannian Manifolds”. Hacettepe Journal of Mathematics and Statistics 54 (1): 200-212. https://doi.org/10.15672/hujms.1211053.
EndNote
Majeed P, Lone M (February 1, 2025) Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. Hacettepe Journal of Mathematics and Statistics 54 1 200–212.
IEEE
[1]P. Majeed and M. Lone, “Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds”, Hacettepe Journal of Mathematics and Statistics, vol. 54, no. 1, pp. 200–212, Feb. 2025, doi: 10.15672/hujms.1211053.
ISNAD
Majeed, Prınce - Lone, Mehraj. “Warped Product Pointwise Bi-Slant Submanifolds of Locally Product Riemannian Manifolds”. Hacettepe Journal of Mathematics and Statistics 54/1 (February 1, 2025): 200-212. https://doi.org/10.15672/hujms.1211053.
JAMA
1.Majeed P, Lone M. Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. Hacettepe Journal of Mathematics and Statistics. 2025;54:200–212.
MLA
Majeed, Prınce, and Mehraj Lone. “Warped Product Pointwise Bi-Slant Submanifolds of Locally Product Riemannian Manifolds”. Hacettepe Journal of Mathematics and Statistics, vol. 54, no. 1, Feb. 2025, pp. 200-12, doi:10.15672/hujms.1211053.
Vancouver
1.Prınce Majeed, Mehraj Lone. Warped product pointwise bi-slant submanifolds of locally product Riemannian manifolds. Hacettepe Journal of Mathematics and Statistics. 2025 Feb. 1;54(1):200-12. doi:10.15672/hujms.1211053

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