Affiliation:
1. INONU UNIVERSITY, FACULTY OF EDUCATION
Abstract
The object of this manuscript is to investigate related to the geometry of distributions on pointwise quasi hemi-slant submanifolds (abbr. pqhs) in cosymplectic manifolds. In this context, the preconditions for such distributions to be integrable, totally geodesic foliation, totally geodesic and mixed totally geodesic are obtained. In addition to, we are going to present several examples to guarantee these new types of submanifolds in cosymplectic manifolds.
Subject
General Earth and Planetary Sciences,General Environmental Science
Reference37 articles.
1. Lie S. Geometrie der Berührungstransfor-mationen. B. G. Teubner, Leipzig. 1896.
2. Blair DE and Goldber SI. Topology of almost contact manifolds. J. Differential Geom. 1967;1:347-354.
3. Ludden GD. Submanifolds of cosymplectic manifolds. J. Differential Geom. 1970;4:237-244.
4. Cabras A, Ianus S and Pitis GH. Extrinsic spheres and parallel submanifolds in cosymplectic manifolds. Toyama Math. J. 1994;17:31-53.
5. Chen BY. Slant immersions. Bull. Aust. Math. Soc. 1990;41(1):135-147.