Killing tensors on complex projective space
Michael Eastwood
TL;DR
This paper characterizes all Killing tensors of any rank on complex projective space with the Fubini-Study metric, showing they are generated by Killing fields, thus advancing understanding of symmetries in complex geometry.
Contribution
It explicitly determines the structure of Killing tensors on complex projective space and proves they are generated by Killing fields, a novel result in differential geometry.
Findings
Killing tensors of any rank are fully characterized.
All Killing tensors are generated by Killing fields.
The structure of symmetries on complex projective space is clarified.
Abstract
The Killing tensors of arbitrary rank on complex projective space with its Fubini-Study metric are determined and it is shown that these spaces are generated by the Killing fields.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Tensor decomposition and applications · Advanced Differential Geometry Research