Results 81 to 90 of about 13,708 (218)
On complete spacelike hypersurfaces with $R=aH+b$ in locally symmetric Lorentz spaces [PDF]
summary:In this note, we investigate $n$-dimensional spacelike hypersurfaces $M^n$ with $R=aH+b$ in locally symmetric Lorentz space.
Mi, Rong +8 more
core +1 more source
bk$b^k$‐Algebroids and the variety of foliation jets
Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff +2 more
wiley +1 more source
Holomorphic curves into projective spaces with some special hypersurfaces
In this article, we establish some truncated second main theorems for holomorphic curves into projective spaces with some special hypersurfaces and give some applications.
Cao Hongzhe, Wang Yuting, Xu Qingyong
doaj +1 more source
On the Work of Cartan and Münzner on Isoparametric Hypersurfaces
A hypersurface Mn in a real space form Rn+1, Sn+1, or Hn+1 is isoparametric if it has constant principal curvatures. This paper is a survey of the fundamental work of Cartan and Münzner on the theory of isoparametric hypersurfaces in real space forms, in
Thomas E. Cecil, Patrick J. Ryan
doaj +1 more source
Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces
Abstract The Fourier restriction conjecture is a fundamental problem in harmonic analysis. In this paper, we investigate restriction estimates for degenerate higher codimensional quadratic surfaces and obtain sharp results for some types of degenerate cases.
Zhenbin Cao, Changxing Miao, Yixuan Pang
wiley +1 more source
Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
wiley +1 more source
Machine Learning for Synthetic Organic Chemistry: Methods, Applications, and Best Practices
Artificial intelligence (AI) and machine learning (ML) are increasingly reshaping experimental chemistry. This review maps the challenges of synthetic organic chemistry to modern digital tools that can help address them. While focusing on the practical application of ML tools in real‐world laboratory settings, we outline prerequisites, emerging ...
Niklas Hölter +3 more
wiley +1 more source
Four-dimensional projective orbifold hypersurfaces [PDF]
We classify four-dimensional quasismooth weighted hypersurfaces with small canonical class, and verify a conjecture of Johnson and Kollar on infinite series of quasismooth hypersurfaces with anticanonical hyperplane section in the case of fourfolds.
Kasprzyk, Alexander M. +4 more
core +1 more source
Hypersurfaces with planar lines of curvature in Euclidean Space
In this work, we present explicit parameterizations of hypersurfaces parameterized by lines of curvature with prescribed Gauss map and we characterize the hypersurfaces with planar curvature lines.
Carlos M. C. Riveros +1 more
doaj +1 more source
On the hypersurface of Lüroth quartics
The hypersurface of Luroth quartic curves inside the projective space of plane quartics has degree 54. We give a proof of this fact along the lines outlined in a paper by Morley, published in 1919. Another proof has been given by Le Potier and Tikhomirov in 2001, in the setting of moduli spaces of vector bundles on the projective plane.
OTTAVIANI, GIORGIO MARIA, E. Sernesi
openaire +4 more sources

