A 1-Differentiable Cohomology Induced by a Vector Field

作者：Crasmareanu Mircea^*; Ida Cristian; Popescu Paul

来源：Journal of Lie Theory, 2016, 26(4): 911-926.

• 1-differentiable form
• Lie derivative
• vector field
• co-homology
• harmonic form

Using the Lie derivative of a vector field, we define a cohomology on spaces of pairs of differential forms (or 1-differentiable forms) in a manifold. We provide a link to the classical de Rham cohomology and to a 1-differentiable cohomology of Lichnerowicz type associated to an one-form. We discuss also the case of a complex manifold and a holomorphic vector field. Finally, an application to the harmonicity of 1-differentiable forms is studied in a particular case.

• 出版日期2016