On the stability of leaves of Riemannian foliations
✍ Scribed by Nina Ivanovna Žukova
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 609 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0232-704X
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📜 SIMILAR VOLUMES
The argument used in my paper does not work. Namely, the dimension of the space of horizontal vectors tangent to the bundle E considered in the paper is in general less than the dimension of the manifold M. So, the proof of Theorems 1 and 2 in Section 4 is not correct. However, using the estimates
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
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