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GRADIENT RICCI SOLITON ON O(n)-INVARIANT n-DIMENSIONAL SUBMANIFOLD IN Sn(1)×Sn(1)

Cho, Jong Taek;Kimura, Makoto

  • Received : 2018.01.23
  • Accepted : 2018.03.27
  • Published : 2019.01.01

Abstract

We construct gradient Ricci solitons as n-dimensional submanifolds in $S^n{\times}S^n$ by using solutions of some nonlinear ODE.

Keywords

gradient Ricci soliton;minimal submanifold;product manifold

Acknowledgement

Supported by : National Research Foundation of Korea(NRF), JSPS