3-K-contact Wolf spaces
The aim of this paper is to give an easy explicit description of 3-K-contact structures on SO(3)-principal fibre bundles over Wolf quaternionic Kähler manifolds.
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Włodzimierz Jelonek (2003)
Annales Polonici Mathematici
The aim of this paper is to give an easy explicit description of 3-K-contact structures on SO(3)-principal fibre bundles over Wolf quaternionic Kähler manifolds.
José M. Sierra, Antonio Valdés (1997)
Czechoslovak Mathematical Journal
Barbara Opozda (1996)
Monatshefte für Mathematik
Petri Kokkonen (2012)
Archivum Mathematicum
In this paper we characterize the existence of Riemannian covering maps from a complete simply connected Riemannian manifold onto a complete Riemannian manifold in terms of developing geodesic triangles of onto . More precisely, we show that if is some isometric map between the tangent spaces and if for any two geodesic triangles , of based at the development through of the composite path onto results in a closed path based at , then there exists a Riemannian covering map...
Mancho Manev, Miroslava Ivanova (2014)
Open Mathematics
The space of the torsion (0,3)-tensors of the linear connections on almost contact manifolds with B-metric is decomposed in 15 orthogonal and invariant subspaces with respect to the action of the structure group. Three known connections, preserving the structure, are characterized regarding this classification.
Teleman, Kostake (2000)
Balkan Journal of Geometry and its Applications (BJGA)
Roberts, John E., Ruzzi, Giuseppe (2006)
Theory and Applications of Categories [electronic only]
W.M. Mikulski (2015)
Archivum Mathematicum
Kazimierz Cegiełka (1976)
Colloquium Mathematicae
Małgorzata Józefowicz, R. Wolak (2007)
Banach Center Publications
The space of the closures of leaves of a Riemannian foliation is a nice topological space, a stratified singular space which can be topologically embedded in for k sufficiently large. In the case of Orbit Like Foliations (OLF) the smooth structure induced by the embedding and the smooth structure defined by basic functions is the same. We study geometric structures adapted to the foliation and present conditions which assure that the given structure descends to the leaf closure space. In Section...
Turner, Paul (2004)
Algebraic & Geometric Topology
Christian Gross (1997)
Commentationes Mathematicae Universitatis Carolinae
This article deals with vector valued differential forms on -manifolds. As a generalization of the exterior product, we introduce an operator that combines -valued forms with -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.
Ivan Kolář (1975)
Časopis pro pěstování matematiky
Echeverría-Enríquez, A., Muñoz-Lecanda, M.C., Román-Roy, N. (2002)
International Journal of Mathematics and Mathematical Sciences
Henryk Gzyl, Lázaro Recht (2006)
Revista Matemática Iberoamericana
In this note we continue a theme taken up in part I, see [Gzyl and Recht: The geometry on the class of probabilities (I). The finite dimensional case. Rev. Mat. Iberoamericana 22 (2006), 545-558], namely to provide a geometric interpretation of exponential families as end points of geodesics of a non-metric connection in a function space. For that we characterize the space of probability densities as a projective space in the class of strictly positive functions, and these will be regarded as a...
Stéphane Garnier, Matthias Kalus (2014)
Archivum Mathematicum
Let be a smooth supermanifold with connection and Batchelor model . From we construct a connection on the total space of the vector bundle . This reduction of is well-defined independently of the isomorphism . It erases information, but however it turns out that the natural identification of supercurves in (as maps from to ) with curves in restricts to a 1 to 1 correspondence on geodesics. This bijection is induced by a natural identification of initial conditions for geodesics...
Kostadin Trenčevski (2003)
Kragujevac Journal of Mathematics
K. Guruprasad, Shrawan Kumar (1990)
Compositio Mathematica
Szilasi, József, Vincze, Csaba (2000)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Jianwei Zhou (2006)
Czechoslovak Mathematical Journal
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
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