A note on the basic Lichnerowicz cohomology of transversally locally conformally Kählerian foliations

2012/01/16 by Cristian Ida, Ida, Cristian
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1201.3203

openalex publication_date 2012/01/16 · openalex created_date 2019/07/30 · openalex updated_date 2026/08/01

Abstract

In this paper we generalize the basic Lichnerowicz cohomology on transversally locally conformally Kählerian foliations and we study its relation with basic Bott-Chern cohomology and 0--th basic Dolbeault cohomology with values in the associated foliated weight bundle.

Citations

• Lichnerowicz-Jacobi cohomology and homology of Jacobi manifolds: modular class and duality
• Deformation of Sasakian metrics

Related

• Twisted basic Dolbeault cohomology on transverse Kähler foliations
• Basic (Dolbeault) Cohomology of Foliated Manifolds with Boundary
• Direct sum for basic cohomology of codimension four taut Riemannian foliation
• Equivariant basic cohomology of singular Riemannian foliations
• Deformation of singular foliations, 1: Local deformation cohomology