Results 21 to 30 of about 10,016 (227)
On Minimal Hypersurfaces of a Unit Sphere
Mathematics, 2021 Minimal compact hypersurface in the unit sphere Sn+1 having squared length of shape operator A22), provided the scalar curvature τ is a constant on integral curves of w.
Amira Ishan +3 more
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Determinantal hypersurfaces. [PDF]
Michigan Mathematical Journal, 2000 29 pages, Plain TeX, with a new Appendix by F.-O ...
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Nonrational hypersurfaces [PDF]
Journal of the American Mathematical Society, 1995 In this very interesting paper there are developed some general ideas to obtain examples of Fano varieties, non-rational and not even ruled. -- Complete proofs, here only sketched, will appear elsewhere. The results are valid for ``very general'' hypersurfaces, that is they hold for hypersurfaces corresponding to a point in the complement of countably ...
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A characterization of totally $\eta$-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]
, 1993 summary:We give a characterization of totally $\eta $-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form in terms of totally umbilical condition for the holomorphic distribution on real hypersurfaces.
Ahn Seong-Soo +6 more
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Ruled real hypersurfaces in the complex hyperbolic quadric
Demonstratio Mathematica, 2023 In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
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International Journal of Mathematics and Mathematical Sciences, 2012 We study lightlike hypersurfaces of a semi-Riemannian product manifold. We introduce a class of lightlike hypersurfaces called screen semi-invariant lightlike hypersurfaces and radical anti-invariant lightlike hypersurfaces.
Erol Kılıç, Oğuzhan Bahadır
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Integral inequalities for closed linear Weingarten submanifolds in the product spaces [PDF]
Anais da Academia Brasileira de Ciências, 2023 An integral inequality for closed linear Weingarten -submanifolds with parallel normalized mean curvature vector field (pnmc lw-submanifolds) in the product spaces ( ) × ℝ, > ≥ 4, where ( ) is a space form of constant sectional ...
FÁBIO R. DOS SANTOS +2 more
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Advances in Mathematical Physics, 2023 In this note, we establish an integral inequality for compact and orientable real hypersurfaces in complex two-plane Grassmannians G2ℂm+2, involving the shape operator A and the Reeb vector field ξ.
Dehe Li, Bo Li, Lifen Zhang
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The Rigging Technique for Null Hypersurfaces
Axioms, 2021 Starting from the main definitions, we review the rigging technique for null hypersurfaces theory and most of its main properties. We make some applications to illustrate it.
Manuel Gutiérrez, Benjamín Olea
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Characterization of totally umbilic hypersurfaces in a space form by circles [PDF]
, 2000 summary:In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by
Maeda, Sadahiro +3 more
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