Geodesic
Hodge–Bott–Chern decompositions of mixed type forms on foliated Kähler manifolds
Cristian Ida1
1 Department of Mathematics and Computer Science Transilvania University of Braşov Iuliu Maniu Street 500091, Braşov, Romania
Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 89-102

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm137-1-6
Keywords: bott chern cohomology groups bott chern laplacian differential forms mixed type compact foliated hler manifold defined studied hodge decomposition theorem bott chern type differential forms mixed type proved finally projectivized tangent bundle complex finsler manifold discussed

Cristian Ida 1

1 Department of Mathematics and Computer Science Transilvania University of Braşov Iuliu Maniu Street 500091, Braşov, Romania 
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Cristian Ida. Hodge–Bott–Chern decompositions of mixed type forms on foliated Kähler manifolds. Colloquium Mathematicum, Tome 137 (2014) no. 1, pp. 89-102. doi: 10.4064/cm137-1-6

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