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Basic Cohomology for Singular Riemannian Foliations

✍ Scribed by Robert A. Wolak

Publisher
Springer Vienna
Year
1999
Tongue
English
Weight
104 KB
Volume
128
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

Cohomology on a Riemannian foliated mani
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Cohomology on a Riemannian foliated manifold with coefficients in the sheaf of germs of foliated currents By MIRCEA CKAIOVEASI; and MIRCEA PUTA of Timipara (Eingegangen am 23. 4. 1979) Summary. Foliated differential f o r m were introduced in [7], [9], to study the cohomology on a RIEMANNian foliate

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For a Riemannian foliation F on a compact manifold M with a bundle-like metric, the de Rham complex of M is C-splitted as the direct sum of the basic complex and its orthogonal complement. Then the basic component cb of the mean curvature form of F is closed and defines a class (Y) in the basic coho