Results 91 to 100 of about 4,750,663 (278)

Asymptotic behavior of Moncrief Lines in constant curvature space‐times

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1347-1359, May 2025.
Abstract We study the asymptotic behavior of Moncrief lines on 2+1$2+1$ maximal globally hyperbolic spatially compact space‐time M$M$ of nonnegative constant curvature. We show that when the unique geodesic lamination associated with M$M$ is either maximal uniquely ergodic or simplicial, the Moncrief line converges, as time goes to zero, to a unique ...
Mehdi Belraouti   +2 more
wiley   +1 more source

Nullity distributions on real hypersurfaces in non-flat complex space forms [PDF]

open access: yesarXiv, 2016
In this paper the result of real hypersurfaces in non-flat complex space forms, whose structure vector field $\xi$ belongs to the $\kappa$-nullity distribution is extended in case of three dimensional real hypersurfaces in non-flat complex space forms.
arxiv  

Existence of real algebraic hypersurfaces with many prescribed components [PDF]

open access: yesarXiv, 2022
Given a real algebraic variety $X$ of dimension $n$, a very ample divisor $D$ on $X$ and a smooth closed hypersurface $\Sigma$ of $\mathbf{R}^n$, we construct real algebraic hypersurfaces in the linear system $|mD|$ whose real locus contains many connected components diffeomorphic to $\Sigma$.
arxiv  

On the Zoll deformations of the Kepler problem

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract A celebrated result of Bertrand states that the only central force potentials on the plane with the property that all bounded orbits are periodic are the Kepler potential and the potential of the harmonic oscillator. In this paper, we complement Bertrand's theorem showing the existence of an infinite‐dimensional space of central force ...
Luca Asselle, Stefano Baranzini
wiley   +1 more source

Real hypersurfaces in the complex hyperbolic quadric with parallel structure Jacobi operator

open access: yesPublicationes mathematicae (Debrecen), 2019
We introduce the notion of parallel structure Jacobi operator for real hypersurfaces in the complex hyperbolic quadric Qm∗ = SO 2,m/SO2SOm, m ≥ 3, and prove a non-existence result for real hypersurfaces in Qm∗ = SO 2,m/SO2SOm, m ≥ 3, with parallel ...
Y. Suh   +2 more
semanticscholar   +1 more source

Curvature properties of Lie hypersurfaces in the complex hyperbolic space [PDF]

open access: yesarXiv, 2009
A Lie hypersurface in the complex hyperbolic space is a homogeneous real hypersurface without focal submanifolds. The set of all Lie hypersurfaces in the complex hyperbolic space is bijective to a closed interval, which gives a deformation of homogeneous hypersurfaces from the ruled minimal one to the horosphere.
arxiv  

The birational geometry of GIT quotients

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces

open access: yesپژوهش‌های ریاضی, 2021
In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
doaj  

Hilbert–Kunz multiplicity of powers of ideals in dimension two

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We study the behavior of the Hilbert–Kunz multiplicity of powers of an ideal in a local ring. In dimension 2, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in terms of a “Ratliff–Rush version” of the Hilbert–Kunz multiplicity.
Alessandro De Stefani   +3 more
wiley   +1 more source

Real Hypersurfaces with $^{*}$-Ricci Solitons of Non-flat Complex Space Forms [PDF]

open access: yesTokyo Journal of Mathematics, 2017
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.
Xiaomin Chen
semanticscholar   +1 more source

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