Results 11 to 20 of about 13,708 (218)

A New Approach to Timelike Hypersurfaces of Constant Ratio in IE14

Journal of Mathematics, 2023
In this study, we consider timelike revolution hypersurfaces of constant ratio in Minkowski space-time. At first, we exhibit the representations of revolution hypersurfaces given by three different forms.
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doaj   +1 more source

Main Curvatures Identities on Lightlike Hypersurfaces of Statistical Manifolds and Their Characterizations

Mathematics, 2022
In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır, Aliya Naaz Siddiqui, Mehmet Gülbahar, Ali Hussain Alkhaldi   +3 more
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Prescribed $k$-symmetric curvature hypersurfaces in de Sitter space [PDF]

, 2020
We prove existence of compact spacelike hypersurfaces with prescribed k - curvature in de Sitter space, where the prescription function depends on both space and the tilt ...
Klingenberg, Wilhelm, Ballesteros-Chávez, Daniel, Lambert, Ben   +2 more
core   +1 more source

Implicitization of hypersurfaces

Journal of Symbolic Computation, 2017
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a parametric description (in terms of polynomials or rational functions) of the hypersurface, find its implicit equation. Two of them are for polynomial parametrizations: one algorithm, "ElimTH", has as main step the computation of an elimination ideal via ...
ABBOTT, JOHN ANTHONY, BIGATTI, ANNA MARIA, ROBBIANO, LORENZO   +2 more
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The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric

Mathematics, 2022
We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
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Hypersurfaces of cohomogeneity one and hypersurfaces of revolution

Differential Geometry and its Applications, 2004
A Riemannian manifold \(M\) equipped with a Lie group \(G\) of isometries has cohomogeneity \(1\) whenever the principal \(G\)-orbits are of codimension \(1\). Here, the authors deal with such complete cohomogeneity-\(1\) hypersurfaces \(M\) in \(\mathbb R^{n+1}\), \(n\geq 3\), which are unflat at infinity. He proves the following results: (1) If \(G\)
Mercuri, Francesco, Pereira Seixas, José Adonai   +1 more
openaire   +2 more sources

Lie derivatives on real hypersurfaces in a complex projective space [PDF]

, 1995
summary:We characterize homogeneous real hypersurfaces $M$’s of type $(A_1)$, $(A_2)$ and $(B)$ of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution $T^0M$ of $M$
Kimura, Makoto, Ki, U-Hang, Maeda, Sadahiro   +2 more
core   +1 more source

A local structure of null hypersurfaces of $\mathbb{R}_{1}^{n+1}$ [PDF]

, 2019
In the present paper, we characterize constant mean curvature and scalar curvature null hypersurfaces of $\mathbb{R}_{1}^{n+1}$.
Ssekajja, Samuel
core   +1 more source

Polarized Rigid Del Pezzo Surfaces in Low Codimension

Mathematics, 2020
We provide explicit graded constructions of orbifold del Pezzo surfaces with rigid orbifold points of type ki×1ri(1,ai):3≤ri≤10,ki∈Z≥0 as well-formed and quasismooth varieties embedded in some weighted projective space.
Muhammad Imran Qureshi
doaj   +1 more source

A certain tensor on real hypersurfaces in a nonflat complex space form [PDF]

, 2020
summary:In a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space), real hypersurfaces admit an almost contact metric structure $(\phi , \xi , \eta , g)$ induced from the ambient space.
Okumura, Kazuhiro
core   +1 more source