Some results on pointwise pseudo-slant submanifolds in a cosymplectic manifold

Noura M. Alhouiti; Noura M. Alhouiti

doi:10.3934/math.2026357

AIMS Mathematics

2026, Volume 11, Issue 3: 8677-8691. doi: 10.3934/math.2026357

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Research article

Some results on pointwise pseudo-slant submanifolds in a cosymplectic manifold

Noura M. Alhouiti ^,

Department of Mathematics, Faculty of Science, University of Tabuk, 71491 Tabuk, Saudi Arabia

Received: 18 December 2025 Revised: 23 March 2026 Accepted: 26 March 2026 Published: 31 March 2026
MSC : 53C15, 53C17, 53C25, 53C40, 53D10, 53D15

In this article, we study submanifolds of a cosymplectic manifold and establish some fundamental results. We then introduce and investigate pointwise pseudo-slant submanifolds in this setting. Conditions for the integrability of the associated distributions are obtained. Furthermore, we examine geometric properties such as totally geodesic, totally umbilical, and minimal pointwise pseudo-slant submanifolds are studied.
- cosymplectic manifold,
- pointwise-slant submanifold,
- pointwise pseudo-slant submanifold
Citation: Noura M. Alhouiti. Some results on pointwise pseudo-slant submanifolds in a cosymplectic manifold[J]. AIMS Mathematics, 2026, 11(3): 8677-8691. doi: 10.3934/math.2026357

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Abstract

In this article, we study submanifolds of a cosymplectic manifold and establish some fundamental results. We then introduce and investigate pointwise pseudo-slant submanifolds in this setting. Conditions for the integrability of the associated distributions are obtained. Furthermore, we examine geometric properties such as totally geodesic, totally umbilical, and minimal pointwise pseudo-slant submanifolds are studied.

References

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