Results 251 to 260 of about 4,276,702 (282)

On Ruled Real Hypersurfaces in Complex Space Forms

Geometriae Dedicata, 1999
An immersed real hypersurface of a complex space form \(M_\kappa^{m+1}\) of constant holomorphic sectional curvature \(\kappa\) is said to be ruled if it is foliated by totally geodesic complex hypersurfaces of \(M_\kappa^{m+1}\). Such hypersurfaces can be parametrized by maps of the form \(f:\mathbb{R}\times M_\kappa^m\to M^{m+1}_\kappa\) for which ...
Lohnherr, Michael, Reckziegel, Helmut
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Lagrangian Bonnet Problems in Complex Space Forms

Acta Mathematica Sinica, English Series, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Huixia, Ma, Hui, Wang, Erxiao
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Isotropic Immersions with Low Codimension of Complex Space Forms into Real Space Forms

Canadian Mathematical Bulletin, 2004
AbstractThe main purpose of this paper is to determine isotropic immersions of complex space forms into real space forms with low codimension. This is an improvement of a result of S. Maeda.
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Complex submanifolds of indefinite complex space forms

Proceedings of the American Mathematical Society
In this short paper, we derive a new result on Umehara algebra. As a consequence, we prove that an indefinite complex hyperbolic space and an indefinite complex projective space do not share a common complex submanifold with induced metrics, answering a question raised in Cheng et al.
Cheng, Xiaoliang, Hao, Yihong, Yuan, Yuan, Zhang, Xu   +3 more
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Families of differential forms on complex spaces

2003
Summary: On every reduced complex space \(X\) we construct a family of complexes of soft sheaves \(\Omega_X\); each of them is a resolution of the constant sheaf \(\mathbb{C}_X\) and induces the ordinary De Rham complex of differential forms on a dense open analytic subset of \(X\). The construction is functorial (in a suitable sense). Moreover each of
ANCONA, VINCENZO, B. GAVEAU
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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
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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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On real hypersurfaces in a complex space form

2016
Let \(M(c)\) be a Kähler manifold of non-vanishing constant holomorphic sectional curvature \(c\) and with real dimension \(2n\geq 6\). Furthermore, let \(P\) be a real hypersurface, \(N\) a local unit normal vector field and \(R\) the Riemann curvature tensor of \(P\).
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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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