Pointwise quasi hemi-slant submanifolds

Abstract

The objective of this paper to introduce a new class of sub- manifolds 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 denition 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 garanty the new kind of submanifolds.

Pointwise Quasi Hemi-Slant Submanifolds of Cosymplectic Manifolds

“…Then, the theory of submanifolds is investigated by many geometers like [6][7][8][9][10][11][12][13][14]. As a generalization of slant submanifolds; semi-slant submanifolds, hemi-slant submanifolds, bislant submanifolds, quasi bi-slant submanifolds, quasi hemi-slant submanifolds, pointwise quasi bi-slant submanifolds, PQHS submanifolds [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] and many others. In 2013, B. Şahin defined the concept of pointwise semi-slant submanifolds [30].…”