INVESTIGADORES
OLMOS Carlos Enrique
artículos
Título:
The relative nullity of complex submanifolds and the Gauss map
Autor/es:
ANTONIO J. DI SCALA; CARLOS OLMOS
Revista:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Lugar: Providence; Año: 2016 vol. 144 p. 1689 - 1695
ISSN:
0002-9939
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 ideas we prove a splitting theorem for complex Euclidean submanifolds with non trivial relative index of nullity.
