Affiliation:
1. AKSARAY ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ
2. SIVAS CUMHURIYET UNIVERSITY
Abstract
In this paper we present invariant submanifolds of an almost $\alpha $-cosymplectic $(k, \mu, \nu)$-space. Then, we gave some results for an invariant submanifold of an almost $\alpha $-cosymplectic $(k,\mu,\nu)$-space to be totally geodesic. As a result, we have discovered some interesting conclusions about invariant submanifolds of an almost cosymplectic $(k, \mu, \nu)$-space.
Publisher
Mathematical Sciences and Applications E-Notes
Reference15 articles.
1. [1] Koufogiorgos, T., Tsichlias, C.: On the existence of a new class of contact metric manifolds. Canadian Mathematical Bulletin. 43(4), 440-447 (2000).
2. [2] Goldberg, S.I., Yano, K.: Integrability of almost cosymplectic strustures. Pacific Journal of Mathematics. 31, 373-382 (1969).
3. [3] Küpeli Erken, I.: On a classıfıcation of almost $\alpha -$ cosymplectic manifolds. Khayyam Journal of Mathematics. 5(1), 1-10 (2019).
4. [4] Olszak, Z.: On almost cosymplectic manifolds. Kodai Mathematical Journal. 4, 239-250 (1981).
5. [5] Atçeken, M.: Characterizations for an invariant submanifold of an almost $\alpha -$cosymplectic $(k,\mu ,\nu )-$ space to be totally geodesic. Filomat. 36(9), 2871-2879 (2022).