Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds

• Autorzy: Cristian Ida
• Języki publikacji: EN

Abstrakty

EN

The Bott-Chern cohomology groups and the Bott-Chern Laplacian on differential forms of mixed type on a compact foliated Kähler manifold are defined and studied. Also, a Hodge decomposition theorem of Bott-Chern type for differential forms of mixed type is proved. Finally, the case of projectivized tangent bundle of a complex Finsler manifold is discussed.

Kategorie tematyczne

• 53B40: Finsler spaces and generalizations (areal metrics)
• 53C12: Foliations (differential geometric aspects)
• 32C36: Local cohomology of analytic spaces
• 57R30: Foliations; geometric theory
• 55N34: Elliptic cohomology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 137
• Numer: 1
• Strony: 89-102

Daty

wydano

2014

Twórcy

autor

Cristian Ida

• Department of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu Street, 500091, Braşov, Romania

Identyfikatory

DOI

10.4064/cm137-1-6