Some curvature identities on hyperKahler manifolds

Authors

  • Samser Alam JADAVPUR UNIVERSITY
  • Arindam Bhattacharyya Jadavpur University, Kolkata, India

Keywords:

Kahler manifold, paraKahler manifold, hyperKahler manifold, conformally flat Kahler manifold, Bochner flat Kahler manifold, generalised W2-flat manifold, Einstein manifold.

Abstract

The object of the present paper is to study some curvature identities on hyperKahler manifold which is locally symmetric.  Also,  we study conformal fatness, Bochner fatness and generalised W2- fatness of a hyperKahler manifold.  Finally,  we gave some examples of a hyperKahler manifold.

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Published

2022-10-31

Issue

Vol. 9 (2022)

Section

Articles

License

Copyright (c) 2022 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.