Chen Inequalities for Submanifolds of Real Space Forms with a Ricci Quarter-Symmetric Metric Connection


POYRAZ N., YOLDAŞ H. İ.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.12, no.1, pp.102-110, 2019 (ESCI, TRDizin)

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2019
  • Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Page Numbers: pp.102-110
  • Çukurova University Affiliated: Yes

Abstract

In this paper, we establish some inequalities for submanifolds of real space forms endowed with a Ricci quarter-symmetric metric connection. Using these inequalities, we obtain the relation between Ricci curvature, scalar curvature and the mean curvature endowed with the Ricci quarter-symmetric metric connection.