Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A (k, µ)-CONTACT METRIC MANIFOLD AS AN η-EINSTEIN SOLITON

  • Received : 2024.02.10
  • Accepted : 2024.04.23
  • Published : 2024.06.30
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Abstract

The aim of the paper is to study an η-Einstein soliton on (2n + 1)-dimensional (k, µ)-contact metric manifold. At first, we establish various results related to (2n + 1)-dimensional (k, µ)-contact metric manifold that exhibit an η-Einstein soliton. Next we study some curvature conditions admitting an η-Einstein soliton on (2n+1)-dimensional (k, µ)-contact metric manifold. Furthermore, we consider specific conditions associated with an η-Einstein soliton on (2n+1)-dimensional (2n+1)-dimensional (k, µ)-contact metric manifold. Finally, we show the existance of an η-Einstein soliton on (k, µ)-contact metric manifold.

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References

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