Theorems of existence and uniqueness for pointwise-slant immersions in Kenmotsu space forms

Noura Alhouiti; Noura Alhouiti

doi:10.3934/math.2024850

AIMS Mathematics

2024, Volume 9, Issue 7: 17489-17503. doi: 10.3934/math.2024850

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Research article

Theorems of existence and uniqueness for pointwise-slant immersions in Kenmotsu space forms

Noura Alhouiti ^,

Department of Basic Sciences, University Collage of Haqel, University of Tabuk, 71491 Tabuk, Saudi Arabia

Received: 07 January 2024 Revised: 29 April 2024 Accepted: 07 May 2024 Published: 21 May 2024
MSC : 53C15, 53C25, 53C42

The present paper aims to demonstrate the theorems of existence and uniqueness for pointwise slant immersions in Kenmotsu space forms. Some substantial results are given in this direction. Also, we offer non-trivial examples of pointwise slant submanifolds of an almost contact- metric manifold.
- Kenmotsu manifold,
- sectional curvature,
- Kenmotsu space form,
- pointwise-slant immersion
Citation: Noura Alhouiti. Theorems of existence and uniqueness for pointwise-slant immersions in Kenmotsu space forms[J]. AIMS Mathematics, 2024, 9(7): 17489-17503. doi: 10.3934/math.2024850

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Abstract

The present paper aims to demonstrate the theorems of existence and uniqueness for pointwise slant immersions in Kenmotsu space forms. Some substantial results are given in this direction. Also, we offer non-trivial examples of pointwise slant submanifolds of an almost contact- metric manifold.

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