Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Alves, Benigno"'
The generalized Zermelo navigation problem looks for the shortest time paths in an environment, modeled by a Finsler manifold (M,F), under the influence of wind or current, represented by a vector field W. The main objective of this paper is to inves
Externí odkaz:
http://arxiv.org/abs/2301.12315
Autor:
Alves, Benigno Oliveira
Uma folheação Riemanniana singular em M, variedade Riemanniana completa, é uma folheação singular tal que as folhas são localmente equidistantes. Existe uma folheação singular, chamada de folheação dual a folheação Riemanniana dada, cuja
A relevant property of equifocal submanifolds is that their parallel sets are still immersed submanifolds, which makes them a natural generalization of the so-called isoparametric submanifolds. In this paper, we prove that the regular fibers of an an
Externí odkaz:
http://arxiv.org/abs/2102.01257
Autor:
Alves, Benigno Oliveira
Nesta tese foi introduzido o conceito de folheação Finsleriana singular, que generaliza ação Finsleriana, submersão Finsler e folheação Finsleriana. O primeiro resultado desta tese afirma que qualquer folheação Finsleriana singular sobre uma
Publikováno v:
Differential Geometry and its Applications Volume 65, August 2019, Pages 93-107
In this note we discuss a few properties of transnormal Finsler functions, i.e., the natural generalization of distance functions and isoparametric Finsler functions. In particular, we prove that critical level sets of an analytic transnormal functio
Externí odkaz:
http://arxiv.org/abs/1807.08398
In this note, we prove that given a submanifold $P$ in a Finsler manifold $(M,F)$, (i) the orthogonal geodesics to $P$ minimize the distance from $P$ at least in some interval, (ii) there exist tubular neighbourhoods around each point of $P$, (iii) t
Externí odkaz:
http://arxiv.org/abs/1710.01699
Publikováno v:
Annali di Matematica (2019) 198: 205
In this paper we introduce the concept of singular Finsler foliation, which generalizes the concepts of Finsler actions, Finsler submersions and (regular) Finsler foliations. We show that if $\mathcal{F}$ is a singular Finsler foliation on a Randers
Externí odkaz:
http://arxiv.org/abs/1708.05457
Publikováno v:
Annali di Matematica Pura ed Applicata; Jun2024, Vol. 203 Issue 3, p1285-1310, 26p
Publikováno v:
In Differential Geometry and its Applications August 2019 65:93-107
Publikováno v:
Israel Journal of Mathematics; Mar2024, Vol. 259 Issue 1, p203-237, 35p