1.1k citations
- Centre National de la Recherche ScientifiqueFR105 papers
- Universidade Federal FluminenseBR42 papers
- Université de Rouen NormandieFR37 papers
- Instituto de Pesquisas Jardim Botânico do Rio de JaneiroBR31 papers
- Laboratoire de Mathématiques Raphaël SalemFR29 papers
- National Research University Higher School of EconomicsRU28 papers
- Universidade Federal do Rio de JaneiroBR26 papers
- Sapienza University of RomeIT20 papers
- Universidade de São PauloBR20 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR18 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR18 papers
- Universidade Federal de Santa CatarinaBR16 papers
10 papers · 2 filters
Einstein submanifolds with flat normal bundle in space forms are holonomic
M. Dajczer, C. -R. Onti, Th. Vlachos
A well-known result asserts that any isometric immersion with flat normal bundle of a Riemannian manifold with constant sectional curvature into a space form is (at least locally)…
Complete minimal submanifolds with nullity in the hyperbolic space
M. Dajczer, Th. Kasioumis, A. Savas-Halilaj +1
We investigate complete minimal submanifolds $f\colon M^3\to\Hy^n$ in hyperbolic space with index of relative nullity at least one at any point. The case when the ambient space is…
The second inner variation of energy and the Morse index of limit interfaces
Pedro Gaspar
In this article we study the second variation of the energy functional associated to the Allen-Cahn equation on closed manifolds. Extending well known analogies between the gradien…
Manifold Ways to Darboux-Halphen System
John Alexander Cruz Morales, Hossein Movasati, Younes Nikdelan +2
Many distinct problems give birth to Darboux-Halphen system of differential equations and here we review some of them. The first is the classical problem presented by Darboux and l…
Lie groupoids and the Frolicher-Nijenhuis bracket
Henrique Bursztyn, Thiago Drummond
The space of vector-valued forms on any manifold is a graded Lie algebra with respect to the Frolicher-Nijenhuis bracket. In this paper we consider multiplicative vector-valued for…
Minimal surfaces near short geodesics in hyperbolic -manifolds
Laurent Mazet, Harold Rosenberg
If is a finite volume complete hyperbolic -manifold, the quantity is defined as the infimum of the areas of closed minimal surfaces in . In this paper w…