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Equifocal families in symmetric spaces of compact type
- Source :
- Journal für die reine und angewandte Mathematik (Crelles Journal). 1999:73-95
- Publication Year :
- 1999
- Publisher :
- Walter de Gruyter GmbH, 1999.
-
Abstract
- An equifocal submanifold M of a symmetric space N of compact type induces a foliation with singular leaves on N. In this paper we will show how to reconstruct the equifocal foliation starting from one of the singular leaves, the so-called focal manifolds. To be more concrete: The equifocal submanifold is equal to a partial tube B around the focal manifold and we will show how to construct B in this paper. Moreover, we will find a geometrical characterization of focal manifolds.<br />Comment: 23 pages
- Subjects :
- Mathematics - Differential Geometry
Pure mathematics
53C40 (Primary)
53C35 (Secondary)
Applied Mathematics
General Mathematics
Astrophysics::Instrumentation and Methods for Astrophysics
Characterization (mathematics)
Type (model theory)
Submanifold
Manifold
Foliation
Differential Geometry (math.DG)
Differential geometry
Symmetric space
FOS: Mathematics
Mathematics::Differential Geometry
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- ISSN :
- 14355345 and 00754102
- Volume :
- 1999
- Database :
- OpenAIRE
- Journal :
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Accession number :
- edsair.doi.dedup.....4fd9a4af0ce4878a9b276e94af51d15b