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Weakly symmetric spaces in complex and quaternionic space forms

Archiv der Mathematik, 1995
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.
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The volume of tubes in complex space forms

Acta Mathematica Sinica, 1992
fsing Jacobi vector fields the author derives a formula for the volume of a tube about a complex submanifold in a complex space form. He also provides a proof of the known result stating that the volumes of the tubes of radius \(r\) about two isometric complex submanifolds are the same. This problem has already been treated, also by using Jacobi vector
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Real Hypersurfaces in Complex Space Forms

2015
The study of real hypersurfaces in complex projective space CP n and complex hyperbolic space CH n began at approximately the same time as Munzner’s work on isoparametric hypersurfaces in spheres. A key early work was Takagi’s classification [669] in 1973 of homogeneous real hypersurfaces in CP n .
Thomas E. Cecil, Patrick J. Ryan
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Conformally flat, minimal, Lagrangian submanifolds in complex space forms

Science China Mathematics, 2022
Luc Vrancken, Miroslava Antić
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Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms

Mathematics, 2020
Alfonso Carriazo +2 more
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B.-Y. CHEN INEQUALITIES FOR SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS

Bulletin of the Korean Mathematical Society, 2003
Jeong-Sik Kim
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NOTES ON REAL HYPERSURFACES IN A COMPLEX SPACE FORM

Bulletin of the Korean Mathematical Society, 2015
Jong Taek Cho
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On a certain class of complex Einstein hypersurfaces in indefinite complex space forms

Mathematische Zeitschrift, 1986
Alfonso Romero Sarabia
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Helical geodesic immersions into complex space forms

Geometriae Dedicata, 1989
Sadahiro Maeda, Yoshihiro Ohnita
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