A SIMPLE PROOF OF THE SHORT-TIME EXISTENCE AND UNIQUENESS FOR RICCI FLOW

被引：0

作者：

Eftekharinasab, Kaveh ^{[1
]}

机构：

[1] NAS Ukraine, Inst Math, Topol lab, 3 Tereshchenkivska St, UA-01601 Kiev, Ukraine

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2019年 / 72卷 / 05期

关键词：

bounded Frechet manifold; Ricci flow; bounded geometry; METRICS;

D O I：

10.7546/CRABS.2019.05.01

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this short note we give a simple proof for the local existence and uniqueness for the Ricci flow on a compact manifold. We suggest a new setting for studying the space of Riemannian metrics on a compact manifold.

引用

页码：569 / 572

页数：4

共 12 条

[1]

CHEEGER J, 1985, J DIFFER GEOM, V21, P1

[2]

DETURCK DM, 1983, J DIFFER GEOM, V18, P157

[3]

Dodson C. T. J., 2015, LONDON MATH SOC LECT, V428

[4]

EFTEKHARINASAB K, 2010, UKR MATH J, V62, P1634

[5]

EFTEKHARINASAB K, 2015, ZB PR I MAT NAN UKR, V12, P89

[6] GEOMETRY OF BOUNDED FRECHET MANIFOLDS [J].

Eftekharinasab, Kaveh .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 46 (03) :895-913

[7]

Engel A., 2014, THESIS

[8]

Ghahremani-Gol H, 2013, BALK J GEOM APPL, V18, P20

[9] COMPLETE METRICS OF BOUNDED CURVATURE ON NONCOMPACT MANIFOLDS [J].

GREENE, RE .

ARCHIV DER MATHEMATIK, 1978, 31 (01) :89-95

[10]

HAMILTON RS, 1982, J DIFFER GEOM, V17, P255

← 1 2 →