306 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidade do PortoPT174 papers
- University of CoimbraPT98 papers
- University of MinhoPT81 papers
- University of LisbonPT24 papers
- Centre National de la Recherche ScientifiqueFR22 papers
- Instituto Superior TécnicoPT22 papers
- UCLouvainBE13 papers
- Universidade Federal da BahiaBR13 papers
- Centro de Análise Matemática Geometria e Sistemas DinâmicosPT10 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR10 papers
- Universidad de La LagunaES9 papers
- Universidade Federal do Rio de JaneiroBR9 papers
6 papers · 2 filters
Hard Lefschetz Theorem for Vaisman manifolds
Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero +1
We establish a Hard Lefschetz Theorem for the de Rham cohomology of compact Vaisman manifolds. A similar result is proved for the basic cohomology with respect to the Lee vector fi…
Dirichlet principal eigenvalue comparison theorems in geometry with torsion
Ana Cristina Ferreira, Isabel Salavessa
We describe min-max formulas for the principal eigenvalue of a -drift Laplacian defined by a vector field on a geodesic ball of a Riemannian manifold . Then we derive com…
A non-Sasakian Lefschetz K-contact manifold of Tievsky type
Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero +1
We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of -contact manifolds which satisfy the Hard Lefschetz Theorem and…
Quaternionic Heisenberg groups as naturally reductive homogeneous spaces
Ilka Agricola, Ana Cristina Ferreira, Reinier Storm
In this note, we describe the geometry of the quaternionic Heisenberg groups from a Riemannian viewpoint. We show, in all dimensions, that they carry an almost -contact metric s…
Generalized Goldberg Formula
Antonio De Nicola, Ivan Yudin
In this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed -form acting on the de Rham algebra o…
Hypersymplectic structures with torsion on Lie algebroids
P. Antunes, J. M. Nunes da Costa
Hypersymplectic structures with torsion on Lie algebroids are investigated. We show that each hypersymplectic structure with torsion on a Lie algebroid determines three Nijenhuis m…