Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds
Colloquium Mathematicae (2014)
- Volume: 137, Issue: 1, page 89-102
- ISSN: 0010-1354
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topCristian Ida. "Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds." Colloquium Mathematicae 137.1 (2014): 89-102. <http://eudml.org/doc/283658>.
@article{CristianIda2014,
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.},
author = {Cristian Ida},
journal = {Colloquium Mathematicae},
keywords = {foliated Kähler manifold; cohomology; Hodge-Bott-Chern theory; complex Finsler structure},
language = {eng},
number = {1},
pages = {89-102},
title = {Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds},
url = {http://eudml.org/doc/283658},
volume = {137},
year = {2014},
}
TY - JOUR
AU - Cristian Ida
TI - Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 1
SP - 89
EP - 102
AB - 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.
LA - eng
KW - foliated Kähler manifold; cohomology; Hodge-Bott-Chern theory; complex Finsler structure
UR - http://eudml.org/doc/283658
ER -
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