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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

Optimization Approach for Extremities of Submanifolds in Locally Conformal Almost Cosymplectic Manifold Admitting SSMC

pp. 131–148Vol. 17Issue 1January 2019DOI: 10.1080/1726037X.2018.1552106XML
Received:
28 Dec 2017
Accepted:
13 Sep 2018
Published Online:
16 May 2019
Article type:
Article
Language:
EN
Article no.:
1726037X.2018.1552106
Pages:
131–148

Abstract

The article is concerned with the etremities for the generalized normalized δ-Casorati curvatures of submanifolds in locally conformal almost cosymplectic manifold endowed with semi-symmetric metric connection using T. Oprea's technique. Applications of these inequalities give rise to several inequalities for hi-slant, hemi-slant, semi-slant, slant, invariant, anti-invariant, CR-submanifolds. Moreover, we characterizes submanifolds on which equalities hold. Also, we establish an inequality in terms of the warping function, the scalar curvature and the Casorati curvature for warped product submanifold of locally conformal almost cosymplectic manifold with semi symmetric metric connection together with some of its applications.

Keywords

Scalar curvatureMean curvatureLocally conformal almost cosymplectic manifoldWarped productSemi-symmetric metric connection

Subject Classifications

53C4053C1553C25

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