CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Submanifolds in the variety of the planar normal section
Autor/es:
ANLICIA N. GARCÍA; WALTER DAL LAGO; CRISTIÁN U. SÁNCHEZ
Revista:
Beitrage zur Algebra and Geometrie (Contributions to algebra and Geometry)
Editorial:
Heldermann Verlag
Referencias:
Lugar: Berlin; Año: 2006 vol. 47 p. 289 - 304
Resumen:
The present paper continues the study of the nature of the variety X [M] of directions of pointwise planar normal sections for the manifold M of complete .ags of a compact simple Lie group Gu. The main results concern submanifolds embedded in RPm��1 (m = dimM) which are subsets of X [M]. One of them is an open set in the natural topology of X [M] whose dimension is related to that of M and the rank of the Lie groupX [M] of directions of pointwise planar normal sections for the manifold M of complete .ags of a compact simple Lie group Gu. The main results concern submanifolds embedded in RPm��1 (m = dimM) which are subsets of X [M]. One of them is an open set in the natural topology of X [M] whose dimension is related to that of M and the rank of the Lie groupM of complete .ags of a compact simple Lie group Gu. The main results concern submanifolds embedded in RPm��1 (m = dimM) which are subsets of X [M]. One of them is an open set in the natural topology of X [M] whose dimension is related to that of M and the rank of the Lie groupGu. The main results concern submanifolds embedded in RPm��1 (m = dimM) which are subsets of X [M]. One of them is an open set in the natural topology of X [M] whose dimension is related to that of M and the rank of the Lie groupRPm��1 (m = dimM) which are subsets of X [M]. One of them is an open set in the natural topology of X [M] whose dimension is related to that of M and the rank of the Lie groupX [M]. One of them is an open set in the natural topology of X [M] whose dimension is related to that of M and the rank of the Lie groupX [M] whose dimension is related to that of M and the rank of the Lie group Gu. Others are projective subspaces of .minimal.dimension contained in X [M]u. Others are projective subspaces of .minimal.dimension contained in X [M] for the groups Gu = SU (n + 1)Gu = SU (n + 1)