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Some framed \(f\)-structures on transversally Finsler foliations

100%

Ida C.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2011

tom 65

nr 1

Some problems concerning to Liouville distribution and framed \(f\)-structures are studied on the normal bundle of the lifted Finsler foliation to its normal bundle. It is shown that the Liouville distribution of transversally Finsler foliations is an integrable one and some natural framed \(f(3,\varepsilon)\)-structures of corank 2 exist on the normal bundle of the lifted Finsler foliation.

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

100%

Ida C.

Colloquium Mathematicum

2014

tom 137

nr 1

89-102

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.

Ograniczanie wyników

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Colloquium Mathematicum

2 Ida C.

1 2014

1 2011

Wyniki wyszukiwania

Some framed \(f\)-structures on transversally Finsler foliations

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