Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Gonçalves, Icaro"'
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 10, Pp 1225-1232 (2022)
We provide a lower value for the volume of a unit vector field tangent to an antipodally punctured Euclidean sphere $\mathbb{S}^2$ depending on the length of an ellipse determined by the indexes of its singularities. We also exhibit minimizing vector
Externí odkaz:
https://doaj.org/article/945dfda2ac7c4ce8a83e228d08dbd90c
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
We provide a lower value for the volume of a unit vector field tangent to an antipodally Euclidean sphere $\mathbb{S}^2$ depending on the length of an ellipse determined by the indexes of its singularities.
Comment: This paper concerns a new ver
Comment: This paper concerns a new ver
Externí odkaz:
http://arxiv.org/abs/2102.11128
We provide a lower value for the volume of a unit vector field tangent to an antipodally Euclidean sphere $\mathbb{S}^2$ depending on the length of an ellipse determined by the indexes of its singularities. In addition, for minimizing vector fields h
Externí odkaz:
http://arxiv.org/abs/2011.05183
In this paper we investigate the mean curvature flow (MCF) of a regular leaf of a closed generalized isoparametric foliation as initial datum, generalizing previous results of Radeschi and first author. We show that, under bounded curvature condition
Externí odkaz:
http://arxiv.org/abs/1909.04201
Autor:
Gonçalves, Icaro
Neste trabalho calculamos a classe de Euler de uma folheação umbílica em um ambiente com forma de curvatura apropriada. Combinamos o teorema de Hopf-Milnor e o número de Euler de uma folheação, definido por Connes, para mostrar como a geometria
For $n\geq 1$, we exhibit a lower bound for the volume of a unit vector field on $\mathbb{S}^{2n+1}\backslash\{\pm p\}$ depending on the absolute values of its Poincar\'e indices around $\pm p$. We determine which vector fields achieve this volume, a
Externí odkaz:
http://arxiv.org/abs/1708.01575
For a unit vector field on a closed immersed Euclidean hypersurface $M^{2n+1}$, $n\geq 1$, we exhibit a nontrivial lower bound for its energy which depends on the degree of the Gauss map of the immersion. When the hypersurface is the unit sphere $\ma
Externí odkaz:
http://arxiv.org/abs/1703.03263
Autor:
Gonçalves, Ícaro, Longa, Eduardo
We consider closed and orientable immersed hypersurfaces of translational manifolds. Given a vector field on such a hypersurface, we define a perturbation of its Gauss map, which allows us to obtain topological invariants for the immersion that depen
Externí odkaz:
http://arxiv.org/abs/1611.01877
Autor:
Brito, Fabiano G. B., Gonçalves, Icaro
Given a unit vector field on a closed Euclidean hypersurface, we define a map from the hypersurface to a sphere in the Euclidean space. This application allows us to exhibit a list of topological invariants which combines the second fundamental form
Externí odkaz:
http://arxiv.org/abs/1609.04670