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On transversely flat conformal foliations with good measures
Author(s):
Taro
Asuke
Journal:
Trans. Amer. Math. Soc.
348
(1996),
1939-1958.
MSC (1991):
Primary 53C12, 57R30, 53C10;
Secondary 53A30, 57R20
MathSciNet review:
1348855
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Abstract:
Transversely flat conformal foliations with good transverse invariant measures are Riemannian in the sense. In particular, transversely similar foliations with good measures are transversely Riemannian as transversely -foliations.
References:
- 1.
- B. N. Apanasov, Kobayashi conformal metric on manifolds, Chern-Simons and
-invariants, International J. Math. 2 (1991), 361--382. MR 92f:58027 - 2.
- T. Asuke, Classification of Riemannian flows with transverse similarity structures, preprint.
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- R. A. Blumenthal, Stability theorems for conformal foliations, Proc. Amer. Math. Soc. 91 (1984), 485--491. MR 86b:57013
- 4.
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Additional Information:
Taro
Asuke
Affiliation:
3-8-1 Komaba, Meguro-ku, Tokyo 153, Japan
Email:
asuke@ms.u-tokyo.ac.jp
DOI:
10.1090/S0002-9947-96-01598-X
PII:
S 0002-9947(96)01598-X
Keywords:
Foliation,
transverse structure,
invariant measure,
Riemannian foliation,
conformal structure
Received by editor(s):
May 8, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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