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The homogeneous ruled real hypersurface in a complex hyperbolic space
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In this paper, the homogeneous ruled real hyperurface of a complex hyperbolic space in the class of ruled real hypersurfaces having constant mean curvature was characterized.Abstract:
We characterize the homogeneous ruled real hyperurface of a complex hyperbolic space in the class of ruled real hypersurfaces having constant mean curvature.read more
Citations
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Ruled hypersurfaces with constant mean curvature in complex space forms
TL;DR: In this article, it was shown that real hypersurfaces with constant mean curvature in complex projective and hyperbolic spaces must have minimal curvatures, by virtue of a result of Lohnherr and Reckziegel.
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Our Friend and Mathematician Karl Strambach
TL;DR: In this paper, the authors describe their work with Prof. Karl Strambach on the occasion of his 80th birthday, and describe how they described their work in the context of their own work.
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Integral curves of the characteristic vector field of minimal ruled real hypersurfaces in non-flat complex space forms
TL;DR: In this paper, the authors give geometric characterizations of minimal ruled real hypersurfaces in a non-flat complex space form by paying particular attention to integral curves of the characteristic vector field.
References
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On homogeneous real hypersurfaces in a complex projective space
TL;DR: In this paper, the authors considered the problem of determining homogeneous real hypersurfaces in a complex projective space Pn(C) of complex dimension n(^>2) which are orbits under analytic subgroups of the projective unitary group PU(n-\\-\\)>.
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Real hypersurfaces in a complex projective space with constant principal curvatures II
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Sectional curvatures of holomorphic planes on a real hypersurface inP n (C)
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Cohomogeneity one actions on noncompact symmetric spaces of rank one
Jurgen Berndt,Hiroshi Tamaru +1 more
TL;DR: In this article, all cohomogeneity one actions on the hyperbolic planes over the complex, quaternionic and Cayley numbers were classified up to orbit equivalence and partial results were obtained.
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On Ruled Real Hypersurfaces in Complex Space Forms
Abstract: Ruled real hypersurfaces of complex space forms are investigated by using the fact that such hypersurfaces can be constructed by moving a 1-codimensional complex totally geodesic submanifold of the ambient space along a curve Among other results, a classification of minimal ruled real hypersurfaces and an example of a homogeneous ruled real hypersurface are given
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