Results 91 to 100 of about 4,750,663 (278)
Asymptotic behavior of Moncrief Lines in constant curvature space‐times
Bulletin 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]
arXiv, 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]
arXiv, 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
Bulletin 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
Publicationes 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]
arXiv, 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
Bulletin 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
پژوهشهای 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
Bulletin 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]
Tokyo 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