Results 51 to 60 of about 784 (176)

Proper affine deformations of positive representations

Journal of Topology, Volume 19, Issue 4, December 2026.
Abstract We define, for every positive Anosov representation of a nonabelian free group into SO(2n,2n−1)$\mathrm{SO}(2n,2n-1)$, a family of R4n−1$\mathbb {R}^{4n-1}$‐valued cocycles which induce proper affine actions on R4n−1$\mathbb {R}^{4n-1}$. We construct fundamental domains in R4n−1$\mathbb {R}^{4n-1}$ bounded by generalized crooked planes for ...
Jean‐Philippe Burelle, Neža Žager Korenjak   +1 more
wiley   +1 more source

Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$

Mathematische Nachrichten, Volume 299, Issue 10, Page 2805-2835, October 2026.
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
wiley   +1 more source

Real Cubic Hypersurfaces and Group Laws

Revista Matemática Complutense, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Topological and geometric rigidity of nonnegatively curved submanifolds

Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.
Abstract We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on the length of the mean curvature vector of the immersion. We show that this condition imposes strong constraints on either the topology or geometry of the submanifold.
Theodoros Vlachos
wiley   +1 more source

Topology of random real hypersurfaces

, 2014
18 pages, notes of the course I gave during the CIMPA summer school at Villa de Leyva, Colombia, in July ...
openaire   +4 more sources

On nondegenerate orbits of 7-dimensional Lie algebras containing a 3-dimensional Abelian ideal

Современная математика: Фундаментальные направления
This paper is related to the problem of describing homogeneous real hypersurfaces of multidimensional complex spaces as orbits of the action of Lie groups and algebras in these spaces.
A. V. Atanov, A. V. Loboda
doaj   +1 more source

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

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  

bk$b^k$‐Algebroids and the variety of foliation jets

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
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, Álvaro del Pino, Aldo Witte   +2 more
wiley   +1 more source

Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
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

Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application

Journal of New Theory
In 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality.
Amine Yılmaz
doaj   +1 more source