Inequalities for generalized  δ -Casorati curvatures of submanifolds in real space forms endowed with a semi-symmetric metric connection

Jae Won Lee ^[1] ; Chul Woo Lee ^[2] ; Dae Won Yoon ^[1]
1. [1] Gyeongsang National University
  
  Gyeongsang National University
  
  Corea del Sur
2. [2] Kyungpook National University
  
  Kyungpook National University
  
  Corea del Sur
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 57, Nº. 2, 2016, págs. 53-62
Idioma: inglés
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Resumen
- We study two sharp inequalities involving the instrinsic scalar curvature and extrinsic generalized normalized δ-Casorati curvature of submanifolds of real space forms endowed with a semi-symmetric metric connection, which are the generalization of some recent results related to the Casorati curvature for submanifolds in a real space form with a semi-symmetric metric connection, obtained by Lee et al. [J. Inequal. Appl. 2014, 2014:327].