MELTING OF THE EUCLIDEAN METRIC TO NEGATIVE SCALAR CURVATURE IN 3 DIMENSION

作者:Kang Yutae*; Kim Jongsu; Kwak SeHo
来源:Bulletin of the Korean Mathematical Society, 2012, 49(3): 581-588.
DOI:10.4134/BKMS.2012.49.3.581

摘要

We find a C-infinity one-parameter family of Riemannian metrics g(t) on R-3 for 0 %26lt;= t %26lt;=epsilon for some number epsilon with the following property: go is the Euclidean metric on R-3, the scalar curvatures of gt are strictly decreasing in t in the open unit ball and gt is isometric to the Euclidean metric in the complement of the ball.

  • 出版日期2012-5