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

Volume 137 / 2014

Cristian Ida Colloquium Mathematicum 137 (2014), 89-102 MSC: Primary 53C12, 57R30; Secondary 55N34, 32C36, 53B40. DOI: 10.4064/cm137-1-6

Abstract

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.

Authors

  • Cristian IdaDepartment of Mathematics and Computer Science
    Transilvania University of Braşov
    Iuliu Maniu Street
    500091, Braşov, Romania
    e-mail

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