摘要
We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space.Moreover,if the symmetric space is of rank one,the result can be strengthened by dropping the condition curvature-adapted.
We prove that there are only finitely many diffeomorphism types of curvature-adapted equifocal hypersurfaces in a simply connected compact symmetric space.Moreover,if the symmetric space is of rank one,the result can be strengthened by dropping the condition curvature-adapted.
基金
supported by National Natural Science Foundation of China(Grant Nos.11071018 and 11001016)
the Specialized Research Fund for Doctoral Program of Higher Education(Grant No.20100003120003)
the Program for Changjiang Scholars and Innovative Research Team in University
