
doi: 10.1007/bf01195546
We prove that some classes of generic submanifolds which include homogeneous real hypersurfaces in complex and quaternionic space forms are weakly symmetric spaces. In our method, the reflection with respect to a submanifold plays a central role.
Local Riemannian geometry, Differential geometry of homogeneous manifolds, generic submanifolds, Global submanifolds, Global differential geometry of Hermitian and Kählerian manifolds, quaternionic space forms, weakly symmetric spaces, complex space form
Local Riemannian geometry, Differential geometry of homogeneous manifolds, generic submanifolds, Global submanifolds, Global differential geometry of Hermitian and Kählerian manifolds, quaternionic space forms, weakly symmetric spaces, complex space form
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