Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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STRESS-ENERGY TENSOR OF THE TRACELESS RICCI TENSOR AND EINSTEIN-TYPE MANIFOLDS

  • Gabjin Yun (Department of Mathematics College of Natural Science Myongji University)
  • Received : 2023.02.14
  • Accepted : 2023.12.05
  • Published : 2024.03.01
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Abstract

In this paper, we introduce the notion of stress-energy tensor Q of the traceless Ricci tensor for Riemannian manifolds (Mn, g), and investigate harmonicity of Riemannian curvature tensor and Weyl curvature tensor when (M, g) satisfies some geometric structure such as critical point equation or vacuum static equation for smooth functions.

Keywords

Acknowledgement

The author would like to thank the anonymous referees for pointing out several useful comments.

References

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