Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Basic cohomology attached to a basic function of foliated manifolds
Authors: Cristian Ida, Sabin Mercheşan
Keywords: Foliated manifolds, basic forms, cohomology.
– 0.16 Mb
Keywords: Foliated manifolds, basic forms, cohomology.
Abstract
In this paper we study a basic cohomology attached to a basic function of foliated manifolds and in particular, of transversely holomorphic foliations. We also explain how this cohomology depends on the basic function and we study a relative cohomology and a Mayer-Vietoris sequence related to this cohomology. Also, a basic Lichnerowicz cohomology attached to a basic function of a foliated manifold is studied.Department of Mathematics and Informatics
Transilvania University of Braşov
Iuliu Maniu Street, No. 50, 500091, Braşov, România
E-mail: ,
Transilvania University of Braşov
Iuliu Maniu Street, No. 50, 500091, Braşov, România
E-mail: ,
Fulltext
– 0.16 Mb
Contents
- Basic cohomology attached to a basic function of foliated manifolds
- Isohedral tilings on Riemann surfaces of genus 2
- Method of construction of topologies on any finite set
- Generators of the algebras of invariants for differential system with homogeneous nonlinearities of odd degree
- On partial inverse operations in the lattice of submodules
- The Generalized Lagrangian Mechanical Systems
- Cubic systems with seven invariant straight lines of configuration (3,3,1)
- The Ricci-flat spaces related to the Navier-Stokes equations
