Characteristic Classes of Flat and of Partially Flat Regular Lie Algebroids over Foliated Manifolds
Jan Kubarski (1995)
Publications du Département de mathématiques (Lyon)
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Jan Kubarski (1995)
Publications du Département de mathématiques (Lyon)
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Jan Kubarski (1994)
Publications du Département de mathématiques (Lyon)
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Hajime Sato, Keizo Yamaguchi (1993)
Mathematische Annalen
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Arslan, K., Murathan, C., Özgür, C. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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John Alexander Cruz Morales, Alexander Torres-Gomez (2019)
Archivum Mathematicum
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In this note we introduce the concept of F-algebroid, and give its elementary properties and some examples. We provide a description of the almost duality for Frobenius manifolds, introduced by Dubrovin, in terms of a composition of two anchor maps of a unique cotangent F-algebroid.
Jan Kubarski (2006)
Czechoslovak Mathematical Journal
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This paper is a continuation of [19], [21], [22]. We study flat connections with isolated singularities in some transitive Lie algebroids for which either or or are isotropy Lie algebras. Under the assumption that the dimension of the isotropy Lie algebra is equal to , where is the dimension of the base manifold, we assign to any such isolated singularity a real number called an index. For -Lie algebroids, this index cannot be an integer. We prove the index theorem (the Euler-Poincaré-Hopf...
Michal Sadowski (2004)
Open Mathematics
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Let E Aff(Γ,G, m) be the set of affine equivalence classes of m-dimensional complete flat manifolds with a fixed fundamental group Γ and a fixed holonomy group G. Let n be the dimension of a closed flat manifold whose fundamental group is isomorphic to Γ. We describe E Aff(Γ,G, m) in terms of equivalence classes of pairs (ε, ρ), consisting of epimorphisms of Γ onto G and representations of G in ℝm-n. As an application we give some estimates of card E Aff(Γ,G, m).
Calvaruso, G. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Barros, Carlos José Braga (1998)
Journal of Lie Theory
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Jan Kubarski (1991)
Publications du Département de mathématiques (Lyon)
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Al-Thani, Huda Mohammed J. (2004)
International Journal of Mathematics and Mathematical Sciences
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Wojciech Kozłowski (2004)
Annales Polonici Mathematici
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We investigate ∇-flat and pointwise-∇-flat functions on affine and Riemannian manifolds. We show that the set of all ∇-flat functions on (M,∇) is a ring which has interesting properties similar to the ring of polynomial functions.
Feng Luo (1992)
Mathematische Annalen
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Mackenzie, K.C.H. (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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