Results 241 to 250 of about 430,965 (263)

Symplectic reflections and complex space forms

Annals of Global Analysis and Geometry, 1991
Let (M,g,J) be a Hermitian manifold and N a submanifold of M. Then the reflection about N is called a symplectic reflection if it preserves the Kaehler form of (M,g,J). In this paper the authors prove the following Theorem. Let (M,g,J) be a Hermitian space of complex dimension \(n\geq 2\).
Chen, Bang-Yen, Vanhecke, Lieven
openaire   +2 more sources

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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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
openaire   +1 more source

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
openaire   +2 more sources

Parallel mean curvature biconservative surfaces in complex space forms

Mathematische Nachrichten, 2023
Bang-Yen Chen, Hiba Bibi
exaly  

Higher-order Minkowski formula in complex space forms

Annals of Global Analysis and Geometry, 2020
Dong Gao
exaly  

AN IMPROVED CHEN-RICCI INEQUALITY FOR KAEHLERIAN SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS

Taiwanese Journal of Mathematics, 2012
Adela Mihai
exaly  

Extremal Kähler Metrics Induced by Finite or Infinite-Dimensional Complex Space Forms

Journal of Geometric Analysis, 2020
Fabio Zuddas, Filippo Salis, Andrea Loi   +2 more
exaly  

Differential forms on complex spaces

2005
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Differential forms on complex spaces

2005
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