<p>In this paper, we study complete vacuum static spaces. A complete classification of 3-dimensional complete vacuum static spaces with non-negative scalar curvature and constant squared norm of Ricci curvature tensor is given by making use of the generalized maximum principle.</p>

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3-dimensional complete vacuum static spaces

  • Qing-Ming Cheng,
  • Guoxin Wei

摘要

In this paper, we study complete vacuum static spaces. A complete classification of 3-dimensional complete vacuum static spaces with non-negative scalar curvature and constant squared norm of Ricci curvature tensor is given by making use of the generalized maximum principle.