Results 1 to 10 of about 70,521 (108)
A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms [PDF]
Mathematics, 2020 The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form.
George Kaimakamis +2 more
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On a New type of Tensor on Real Hypersurfaces in Non-Flat Complex Space Forms [PDF]
Symmetry, 2019 In this paper the notion of ∗ -Weyl curvature tensor on real hypersurfaces in non-flat complex space forms is introduced. It is related to the ∗
George Kaimakamis +1 more
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Length spectrum of geodesic spheres in a non-flat complex space form
Journal of the Mathematical Society of Japan, 2002 In this paper the authors study geodesics on geodesic spheres in the complex projective space and complex hyperbolic space. In particular for geodesic spheres in the complex projective space of radius \(r < \pi/2\) and \(\tan^ 2 r\) irrational they show: Two closed geodesics are congruent via an isometry provided they have the same length. Besides this
ADACHI, Toshiaki +2 more
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PSEUDO PARALLEL CR-SUBMANIFOLDS IN A NON-FLAT COMPLEX SPACE FORM
Taiwanese Journal of Mathematics, 2014 We classify pseudo parallel proper CR-submanifolds in a non-flat complex space form with CR-dimension greater than one. With this result, the non-existence of recurrent as well as semi parallel proper CR-submanifolds in a non-flat complex space form with CR-dimension greater than one can also be obtained.
De, Avik, Loo, Tee-How
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Real Hypersurfaces with $^{*}$-Ricci Solitons of Non-flat Complex Space Forms [PDF]
Tokyo Journal of Mathematics, 2018 Kaimakamis and Panagiotidou in \cite{KP} introduced the notion of $^*$-Ricci soliton and studied the real hypersurfaces of a non-flat complex space form admitting a $^*$-Ricci soliton whose potential vector field is the structure vector field. In this article, we consider that a real hypersurface of a non-flat complex space form admits a $^*$-Ricci ...
Xiaomin Chen
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REAL HYPERSURFACES IN A NON-FLAT COMPLEX SPACE FORM WITH LIE RECURRENT STRUCTURE JACOBI OPERATOR [PDF]
Bulletin of the Korean Mathematical Society, 2013 The aim of this paper is to introduce the notion of Lie recurrent structure Jacobi operator for real hypersurfaces in non-flat complex space forms and to study such real hypersurfaces. More precisely, the non-existence of such real hypersurfaces is proved.
George Kaimakamis +1 more
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Comparison of Differential Operators with Lie Derivative of Three-Dimensional Real Hypersurfaces in Non-Flat Complex Space Forms [PDF]
Mathematics, 2018 In this paper, three-dimensional real hypersurfaces in non-flat complex space forms, whose shape operator satisfies a geometric condition, are studied. Moreover, the tensor field P = ϕ A - A ϕ is given and three-dimensional real hypersurfaces in non-flat complex space forms whose tensor field P satisfies geometric conditions are classified.
Kaimakamis, George +2 more
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Taiwanese Journal of Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaimakamis, George +1 more
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On Hopf hypersurfaces in a non-flat complex space form with η-recurrent Ricci tensor
Kodai Mathematical Journal, 2010 Baikoussis, Lyu and Suh [1] showed that a Hopf hypersurface M in a non-flat complex space form M-n(c) with constant mean curvature and with eta-recurrent Ricci tensor is locally congruent to one of real hypersurfaces of type A and B. They also conjectured that the same result can be obtained even without the constancy assumption on the mean curvature ...
Kon, Song-How, Loo, Tee-How
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Advances in Pure Mathematics, 2013 In this paper, we study a real hypersurface M in a non-at 2-dimensional complex space form M2(c) with η-parallel Ricci and shape operators. The characterizations of these real hypersurfaces are obtained.
Dong Ho Lim, Woon Ha Sohn, Hyunjung Song
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