Bundle-like foliations with Kählerian leaves

Escobales, Richard H.

doi:10.1090/S0002-9947-1983-0688981-7

Bundle-like foliations with Kählerian leaves
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Trans. Amer. Math. Soc. 276 (1983), 853-859 Request permission

Abstract:

For bundle-like foliations with Kählerian leaves a certain function $f$ is studied and its Laplacian along a leaf is computed. From this computation one obtains geometric conditions which guarantee the integrability of the distribution orthogonal to that determined by the leaves. When the leaves are compact, the key condition needed to guarantee the integrability of this orthogonal distribution can be interpreted as a condition on the first Chern class of each of the leaves.

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