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Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold
(Publication Committee for the Tokyo Journal of Mathematics, 2012-01)
We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.
Minimal sets of fibre-preserving maps in graph bundles
(SPRINGER HEIDELBERG, 2014)
Fixed points on Klein bottle fiber bundles over the circle
(Polish Acad Sciences Inst Mathematics, 2009-01-01)
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S(1) for spaces which are fiber bundles over S(1) and the fiber is the Klein bottle K. We classify all such maps which can be ...
Fixed points on Klein bottle fiber bundles over the circle
(Polish Acad Sciences Inst Mathematics, 2009-01-01)
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S(1) for spaces which are fiber bundles over S(1) and the fiber is the Klein bottle K. We classify all such maps which can be ...
Fixed points on Klein bottle fiber bundles over the circle
(POLISH ACAD SCIENCES INST MATHEMATICS, 2009)
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S(1) for spaces which are fiber bundles over S(1) and the fiber is the Klein bottle K. We classify all such maps which can be ...
Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
(2020)
There is an isomorphism between the moduli spaces of σ-stable holomorphic triples
and some of the critical submanifolds of the moduli space of k-Higgs bundles of
rank three, whose elements (E, ϕk
) correspond to variations ...
Using phylogenetic trees to generate semantic meaningful edge bundles
(Sociedade Brasileira de Computação - SBCUniversidade Federal da Bahia - UFBASalvador, 2015-08)
Graphs have been successfully applied in a range of problems and applications. It is the object of study of different areas, from modeling and analysis to the construction of visual representations. Different approaches ...
Optimal bundles in normed spaces
(Duke University Press, 2013)
In this paper, we prove existence of optimal bundles for a countable set of data in a broad class of normed spaces, which extend previous known results for a finite data set in a Hilbert space. In addition, we study the ...
Rank two nilpotent co-higgs sheaves on complex surfaces
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2016-01-19)
Seja (E, ϕ) um feixe vetorial de dois co-Higgs em uma superfície compacta de Kähler X com ϕ∈H0 (X, End (E) ⊗TX) nilpotente. Se (E, ϕ) for semi-estável, então um dos seguintes se aplica à cobertura de étale finita: (1) X ...