Inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature with a semi-symmetric non-metric connection

Pan Zhang ^[1] ; Xulin Pan ^[1] ; Liang Zhang ^[1]
1. [1] Anhui Normal University
  
  Anhui Normal University
  
  China
Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 56, Nº. 2, 2015, págs. 1-19
Idioma: inglés
Enlaces
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Resumen
- By using two new algebraic lemmas we obtain Chen’s inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature endowed with a semi-symmetric non-metric connection. Moreover, we correct a result of C. Özgür and A. Mihai’s paper (Chen inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection, Canad. Math. Bull. 55 (2012), 611-622).