Research Article

Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds

Volume: 74 Number: 1 March 8, 2025
EN

Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds

Abstract

In this article, firstly we study pointwise slant, pointwise hemi-slant submanifolds whose ambient spaces are para-cosymplectic manifolds and we prove that there exist pointwise hemi-slant nontrivial warped product submanifolds whose ambient spaces are para-cosymplectic manifolds by giving some examples. We get several theorems and some characterizations. Later, we also obtain some inequalities.

Keywords

References

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  2. Ayaz, S., Gündüzalp, Y., Warped product pointwise hemi-slant submanifolds whose ambient spaces are nearly para-Kaehler manifolds, Turk. J. Math., 48(3) (2024), 477-497. https://doi.org/10.55730/1300-0098.3520
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  6. Hiepko, S., Eine innere Kennzeichnung der verzeten Producte, Math. Ann., 241 (1979), 209-215. https://eudml.org/doc/163263
  7. Park, K. S., Pointwise slant and pointwise semi-slant submanifolds in almost contact metric manifolds, Mathematics, 13 (2020), 1-33.
  8. Prasad, R., Akyol, M. A., Verma, S. K., Kumar, S., Quasi bi-slant submanifolds of Kaehler manifolds, International Electronic Journal of Geometry, 15(1) (2022), 57-68.

Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

March 8, 2025

Submission Date

June 28, 2024

Acceptance Date

December 31, 2024

Published in Issue

Year 2025 Volume: 74 Number: 1

APA
Ayaz, S., & Gündüzalp, Y. (2025). Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 74(1), 117-129. https://doi.org/10.31801/cfsuasmas.1506942
AMA
1.Ayaz S, Gündüzalp Y. Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74(1):117-129. doi:10.31801/cfsuasmas.1506942
Chicago
Ayaz, Sedat, and Yılmaz Gündüzalp. 2025. “Geometry of Pointwise Hemi-Slant Warped Product Submanifolds in Para-Contact Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 (1): 117-29. https://doi.org/10.31801/cfsuasmas.1506942.
EndNote
Ayaz S, Gündüzalp Y (March 1, 2025) Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74 1 117–129.
IEEE
[1]S. Ayaz and Y. Gündüzalp, “Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 74, no. 1, pp. 117–129, Mar. 2025, doi: 10.31801/cfsuasmas.1506942.
ISNAD
Ayaz, Sedat - Gündüzalp, Yılmaz. “Geometry of Pointwise Hemi-Slant Warped Product Submanifolds in Para-Contact Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 74/1 (March 1, 2025): 117-129. https://doi.org/10.31801/cfsuasmas.1506942.
JAMA
1.Ayaz S, Gündüzalp Y. Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025;74:117–129.
MLA
Ayaz, Sedat, and Yılmaz Gündüzalp. “Geometry of Pointwise Hemi-Slant Warped Product Submanifolds in Para-Contact Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 74, no. 1, Mar. 2025, pp. 117-29, doi:10.31801/cfsuasmas.1506942.
Vancouver
1.Sedat Ayaz, Yılmaz Gündüzalp. Geometry of pointwise hemi-slant warped product submanifolds in para-contact manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2025 Mar. 1;74(1):117-29. doi:10.31801/cfsuasmas.1506942

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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