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Article
Lifting Theorem Concerning Distality on a Fibre Bundle
S. Pandatapu2027@yahoo.co.inDepartment of MathematicsJadavpur University. s:Kolkata, IndiaView full profile →
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- Received:
- 15 May 2014
- Accepted:
- 24 Jul 2014
- Published Online:
- 03 Dec 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.979708
- Pages:
- 117–130
Abstract
In this note we have proved the lifting properties on fibre bundle W under skew product flow π and established that if bounded solutions are positively uniformly stable then a π–invariant subset of W is minimal.
Keywords
Subject Classifications
: 53C4453C2158J35
References
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- J.Sacker and R.Sell, Skew-product flows, finite extensions of minimal transformation groupes and almost periodic differential equation , Bullentin of the American Math. soc , Vol. 79 , 802 – 805 ( 1973 ).
- R.Sell and J.Sacker, Finite extensions of minimal transformation groups , Trans. Amer. Math. Soc ., Vol. 190 , 325 – 334 ( 1974 ).
- J.Sacker and R.Sell, Lifting properties in skew-product flows with application to differential equations , Memoirs of the Amer. Math. Soc ., Vol. 11 , no. 190 , ( 1977 ).
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