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On Intrinsic Properties of Ricci Flow Curve | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 مهر 1394 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3222 | ||
| نویسندگان | ||
| Hajar Ghahremani-Gol1؛ Asadollah Razavi* 2؛ Farzad Didehvar3 | ||
| 1Amirkabir University of Technology( Tehran Polytechnic) | ||
| 2Amirkabir University of Technology ( Tehran Polytechnic) | ||
| 3Amirkabir University of Tecchnology ( Tehran Polytechnic) | ||
| چکیده | ||
| Abstract. R.Hamilton defined Ricci flow as evolution of Rie-mannian metrics satisfying a weak parabolic partial differential equation. We have considered and studied Ricci flow as an inte- gral curve of a certain vector field in the manifold of Riemannian metrics. In this paper we study properties of this integral curve and find some results on the stability of the solution. | ||
| کلیدواژهها | ||
| Ricci flow؛ Space of Riemannian metrics؛ Stability؛ Infinite dimensional manifolds | ||
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آمار تعداد مشاهده مقاله: 7,476 |
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