Chen's invariants for real hypersurfaces in complex quadric endowed with quarter-symmetric metric connection

  • Pooja Bansal
  • Mohammad Hasan Shahid

Abstract

The article is concerned with the study of real hypersurfaces of the complex quadric $Q^{m}$ endowed with quarter-symmetric metric connection. Moreover, we investigate the expression of the curvature tensor of a real hypersurface in the complex quadric $Q^{m}$ endowed with quarter-symmetric metric connection. Using this curvature, we derive inequalities involving Chen $\delta$-invariant endowed with quarter-symmetric metric connection. Later, equality cases have been derived.

Published
2018-11-26