On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection

Semra Zeren; Ahmet Yıldız

doi:10.47000/tjmcs.1880783

On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection

Abstract

The main objective of this paper is to investigate the geometry of semi-slant submanifolds in Kenmotsu manifolds defined with respect to the Schouten-van Kampen connection. Unlike the Levi-Civita connection, the Schouten-van Kampen connection offers a more rigid geometric framework where the structure vector field ξ and the metric tensor remain parallel. In this study, we first establish the existence of semi-slant submanifolds in this setting and obtain necessary and sufficient conditions for their characterization. Furthermore, we investigate the integrability conditions of the invariant and slant distributions associated with the semi-slant structure. We derive new results concerning the total geodesicity of these submanifolds and the geometric properties of the induced connection. Finally, we provide a non-trivial example of a 5-dimensional semi-slant submanifold in ℝ⁷ to illustrate the theoretical results obtained.

Keywords

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Semra Zeren ^*
0000-0003-0083-3507
Türkiye

Ahmet Yıldız
0000-0002-9799-1781
Türkiye

Publication Date

October 13, 2026

Submission Date

February 3, 2026

Acceptance Date

March 26, 2026

Published in Issue

Year 2026 Volume: 18 Number: 3

DOI

https://doi.org/10.47000/tjmcs.1880783

IZ

https://izlik.org/JA65DJ36WG

Cite

RIS / Bibtex

APA

Zeren, S., & Yıldız, A. (2026). On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection. Turkish Journal of Mathematics and Computer Science, 18(3), 744-754. https://doi.org/10.47000/tjmcs.1880783

AMA

1.Zeren S, Yıldız A. On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection. TJMCS. 2026;18(3):744-754. doi:10.47000/tjmcs.1880783

Chicago

Zeren, Semra, and Ahmet Yıldız. 2026. “On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds Endowed With the Schouten-Van Kampen Connection”. Turkish Journal of Mathematics and Computer Science 18 (3): 744-54. https://doi.org/10.47000/tjmcs.1880783.

EndNote

Zeren S, Yıldız A (October 1, 2026) On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection. Turkish Journal of Mathematics and Computer Science 18 3 744–754.

IEEE

[1]S. Zeren and A. Yıldız, “On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection”, TJMCS, vol. 18, no. 3, pp. 744–754, Oct. 2026, doi: 10.47000/tjmcs.1880783.

ISNAD

Zeren, Semra - Yıldız, Ahmet. “On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds Endowed With the Schouten-Van Kampen Connection”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 744-754. https://doi.org/10.47000/tjmcs.1880783.

JAMA

1.Zeren S, Yıldız A. On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection. TJMCS. 2026;18:744–754.

MLA

Zeren, Semra, and Ahmet Yıldız. “On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds Endowed With the Schouten-Van Kampen Connection”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 744-5, doi:10.47000/tjmcs.1880783.

Vancouver

1.Semra Zeren, Ahmet Yıldız. On the Geometry of Semi-Slant Submanifolds in Kenmotsu Manifolds endowed with the Schouten-van Kampen Connection. TJMCS. 2026 Oct. 1;18(3):744-5. doi:10.47000/tjmcs.1880783