Proceedings - Mathematical Sciences

, Volume 122, Issue 4, pp 597–614 | Cite as

Ricci flow of warped product metrics with positive isotropic curvature on S p+1 × S 1

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Abstract

We study the asymptotic behaviour of the ODE associated to the evolution of curvature operator in the Ricci flow of a doubly warped product metric on S p + 1 ×S 1 with positive isotropic curvature.

Keywords

Ricci flow curvature operator positive isotropic curvature singularity analysis 
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Notes

Acknowledgements

The author is thankful to Dr. Harish Seshadri for his guidance and encouragement during the preparation of this article. The author would also like to thank CSIR, New Delhi for its financial support under SPM Fellowship Scheme during the course of this work.

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Copyright information

© Indian Academy of Sciences 2012

Authors and Affiliations

  1. 1.Department of MathematicsSt. Aloysius CollegeMangaloreIndia

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