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Bibliographic Details
Main Authors: Cao, Huai-Dong, Sun, Xiaofeng, Zhang, Yingying
Format: Preprint
Published: 2011
Subjects:
Online Access:https://arxiv.org/abs/1108.6316
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Table of Contents:
  • We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons.