Pointwise quasi hemi-slant submanifolds

Author:

Beyendi Selahattin1,Akyol Mehmet2,Stankovic Mica3ORCID

Affiliation:

1. Inonu University, Faculty of Education, Malatya, Türkiye

2. Bingol University, Faculty of Arts and Sciences, Department of Mathematics, Bingöl, Türkiye

3. University of Niš, Faculty of Sciences and Mathematics, Department of Mathematics, Niš, Serbia

Abstract

The objective of this paper is to introduce a new class of submanifolds which are called pointwise quasi hemi-slant submanifolds in almost Hermitian manifolds which extends quasi hemi-slant, hemi-slant, semi-slant and slant submanifolds in a very natural way. Several basic results in this respect are proved in this paper. Moreover, we obtain some conditions of the distributions which are involved in the definition of the new submanifolds. We also get some results for totally geodesic and mixed totally geodesic conditions for pointwise quasi hemi-slant submanifolds. Finally, we illustrate some examples in order to guaranty the new kind of submanifolds.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference37 articles.

1. M. A. Akyol and S. Beyendi, A note on quasi bi-slant submanifolds of cosymplectic manifolds, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 69(2), (2020), 1508-1521.

2. M. A. Akyol, S. Beyendi, T. Fatima and A. Ali, Pointwise quasi bi-slant submanifolds, Filomat 36(19), (2022), 6687-6697.

3. A. Benjancu and N. Papaghuic, Semi-invariant submanifolds of a Sasakian manifold, An. St. Univ. AI. I. Cuza. Iasi. Math.(N.S.), 27, (1981), 163-170.

4. J. L. Cabrerizo, A. Carriazo and L. M. Fernandez, Slant submanifolds in Sasakian manifolds, Glasg. Math. J., 42, (2000), 125-138.

5. J. L. Cabrerizo, A. Carriazo, L. M. Fernandez and M. Fernandez, Semi-slant submanifolds of a Sasakian manifold, Geom. Dedic. 78(2), (1999), 183-199.

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1. Pointwise Hemi-Slant Riemannian Submersions;Ukrainian Mathematical Journal;2024-03

2. Pointwise hemi-slant Riemannian submersions;Ukrains’kyi Matematychnyi Zhurnal;2023-10-24

3. POINTWISE QUASI HEMI-SLANT SUBMANIFOLDS OF COSYMPLECTIC MANIFOLDS;Türk Doğa ve Fen Dergisi;2023-03-27

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