Artículos de revistas
The relative nullity of complex submanifolds and the gauss map
Fecha
2016-04Registro en:
Di Scala, Antonio J.; Olmos, Carlos Enrique; The relative nullity of complex submanifolds and the gauss map; American Mathematical Society; Proceedings of the American Mathematical Society; 144; 4; 4-2016; 1689-1695
0002-9939
CONICET Digital
CONICET
Autor
Di Scala, Antonio J.
Olmos, Carlos Enrique
Resumen
We give a short and geometric proof, based on Jacobi fields, of a theorem of K. Abe that asserts that the relative index of nullity is trivial for complete non-totally geodesic complex projective submanifolds. Using this idea we prove a splitting theorem for complex Euclidean submanifolds with a non-trivial relative index of nullity.