Full paper in PDF:
$%A. M. Naveira, On the total (non absolute) curvature of an even dimensional submanifold n X immersed in Rn+2 , Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 2, 279–287.%$

On the Total (Non Absolute) Curvature of an Even Dimensional Submanifold X n Immersed in Rn+2
Antonio M. NAVEIRA
Departamento de Geometría y Topología
Universidad de Valencia
46100 Burjassot (Valencia) — Spain

Received: March 12, 1993
Revised: January 26, 1994
ABSTRACT

The total curvatures of the submanifolds immersed in the Euclidean space have been studied mainly by Santaló and Chern-Kuiper. In this paper we give geometrical and topological interpretation of the total (non absolute) curvatures of the even dimensional submanifolds immersed in n+2 R . This gives a generalization of two results obtained by Santaló.

1991 Mathematics Subject Classification: 53C65.