Zobrazeno 1 - 10
of 15
pro vyhledávání: '"da Silva, Eurípedes"'
In this article, we study the geometric properties of codimension one foliations on Riemannian manifolds equipped with vector fields that are closed and conformal. Apart from its singularities, these vector fields define codimension one foliations wi
Externí odkaz:
http://arxiv.org/abs/2407.03989
For a foliation by CMC hypersurfaces on a complete Riemannian manifold $M^{n+1}$ with sectional curvature bounded from below by $-nK_0\leq 0$ and such that the mean curvature $H$ of the leaves of the foliation satisfies $|H|\geq \sqrt{K_0}$, under ce
Externí odkaz:
http://arxiv.org/abs/2404.13772
In this paper, we prove the following version of the famous Bernstein's theorem: Let $X\subset \mathbb R^{n+k}$ be a closed and connected set with Hausdorff dimension $n$. Assume that $X$ satisfies the monotonicity formula at $p\in X$. Then, the foll
Externí odkaz:
http://arxiv.org/abs/2312.01141
We consider germs of holomorphic vector fields at the origin of $\mathbb{C}^3$, with non-isolated singularities that are tangent to a holomorphic foliation of codimension one. This configuration is known as a $2$-flag of foliations. The focus is on c
Externí odkaz:
http://arxiv.org/abs/2308.13370
This survey is the continuation of a series of works aimed at applying tools from Singularity Theory to Differential Equations. More precisely, we utilize the powerfull Milnor's Fibration Theory to give geometric-topological classifications of first
Externí odkaz:
http://arxiv.org/abs/2308.13359
In this article, we present a complete classification, with normal forms, of the real algebraic curves under blow-spherical homeomorphisms at infinity.
Comment: 15 pages and 3 figures. arXiv admin note: text overlap with arXiv:2302.02026
Comment: 15 pages and 3 figures. arXiv admin note: text overlap with arXiv:2302.02026
Externí odkaz:
http://arxiv.org/abs/2304.13891
This article is devoted to studying complex algebraic sets under (global) blow-spherical equivalence. The main results of this article are complete classifications of complex algebraic curves. Firstly, we present a complete classification of complex
Externí odkaz:
http://arxiv.org/abs/2302.02026
In this work, we study the geometric properties of spacelike foliations by hypersurfaces on a Lorentz manifold. We investigate conditions for the leaves being stable, totally geodesic or totally umbilical. We consider that $\overline{M}^{n+1}$ is equ
Externí odkaz:
http://arxiv.org/abs/2203.09605
Publikováno v:
Results Math 75, 36 (2020)
In this work we study the geometric properties of spacelike foliations by hypersurfaces on a Lorentz manifold. We find an equation that relates the foliation with the ambient manifold and apply it to investigate conditions for the leaves being totall
Externí odkaz:
http://arxiv.org/abs/1907.10705
In this work, we find an equation that relates the Ricci curvature of a riemannian manifold $M$ and the second fundamental forms of two orthogonal foliations of complementary dimensions, $\mathcal{F}$ and $\mathcal{F}^{\bot}$, defined on $M$. Using t
Externí odkaz:
http://arxiv.org/abs/1711.05690