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SASAKIAN 3-MANIFOLD AS A RICCI SOLITON REPRESENTS THE HEISENBERG GROUP

RAMESH SHARMA

Department of Mathematics, University of New Haven, West Haven, CT 06516, USA

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and

AMALENDU GHOSH

Department of Mathematics, Krishnagar Government College, Krishnanagar 741101, West Bengal, India

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https://doi.org/10.1142/S021988781100504XCited by:27 (Source: Crossref)

Abstract

We show that, if a 3-dimensional Sasakian metric is a non-trivial Ricci soliton, then it is expanding and homothetic to the standard Sasakian metric on the Heisenberg group nil³. We have also discussed properties of the Ricci soliton potential vector field that relate to the underlying contact structure.

Keywords:

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