Results 31 to 40 of about 1,018 (69)
Open Mathematics, 2015 In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina +1 more
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Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces
Complex Manifolds, 2019 An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
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Extrinsic diameter of immersed flat tori in the 3-sphere II [PDF]
arXiv, 2019 We show that the extrinsic diameter of immersed flat tori in the 3-sphere is $\pi$ under a certain topological condition for the projection of their asymptotic curves with respect to the Hopf fibration.
arxiv
The analog of the Schauder inequality for closed surfaces in Euclidean spaces [PDF]
arXiv, 2007 The analog of the Schauder inequality for closed surfaces in Euclidean spaces is obtained in this article.
arxiv
Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces [PDF]
arXiv, 2010 We construct examples of inhomogeneous isoparametric real hypersurfaces in complex hyperbolic spaces.
arxiv
Second variation of one-sided complete minimal surfaces [PDF]
arXiv, 2011 The stability and the index of complete one-sided minimal surfaces of certain three-dimensional Riemannian manifolds with positive scalar curvature are studied.
arxiv
On phi-recurrent generalized Sasakian-space-forms [PDF]
arXiv, 2013 We show that there is no phi-recurrent generalized Sasakian-space-forms, when is a non-zero constant.
arxiv
Remark on the paper "Eigenvalues of the Witten-Laplacian on compact Riemannian manifolds" Q.-M. Cheng and L. Zeng [arXiv:1304.3212] [PDF]
arXiv, 2013 Why the results of that article [arXiv:1304.3212] are immediate consequences of known ones.
arxiv
Non-closed minimal hypersurfaces of $\Bbb{S^4}(1)$ with identically zero Gauß-Kronecker curvature [PDF]
arXiv, 2002 We give a partial local description of minimal hypersurfaces $M^3$ with identically zero Gau\ss-Kronecker curvature function in the unit 4-sphere $\Bbb{S}^4(1)$, without assumption on the compactness of $M^3$.
arxiv
Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces [PDF]
arXiv, 2003 The authors obtained the classification theorem for Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces using the idea of quaternion extensors.
arxiv