INVESTIGADORES
OLMOS Carlos Enrique
artículos
Título:
Holonomy and Submanifold Geometry
Autor/es:
CONSOLE, SERGIO; DI SCALA, ANONIO J. ; OLMOS, CARLOS
Revista:
ENSEIGNEMENT MATHEMATIQUE
Editorial:
European Mathematical Society
Referencias:
Lugar: Ginebra; Año: 2002 vol. 48 p. 23 - 50
ISSN:
0013-8584
Resumen:
We survey applications of holonomic methods to submanifold geometry, showing the the consequence of some sort of extrinsic version of the de Rham decompostion theorem and Berger holonomy theorem, the so-called normal holonomy theorem. At the same time we sketch strong applications of submanifold geometry to Lorentzian holonomy. We also give a conceptual proof of a result of Kostant.