Prescribing Ricci curvature on homogeneous spaces
2022 ◽
Vol 0
(0)
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Keyword(s):
Abstract The prescribed Ricci curvature problem in the context of G-invariant metrics on a homogeneous space M = G / K {M=G/K} is studied. We focus on the metrics at which the map g ↦ Rc ( g ) {g\mapsto\operatorname{Rc}(g)} is, locally, as injective and surjective as it can be. Our main result is that such property is generic in the compact case. Our main tool is a formula for the Lichnerowicz Laplacian we prove in terms of the moment map for the variety of algebras.
1985 ◽
Vol 37
(3)
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pp. 467-487
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2019 ◽
Vol 30
(1)
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pp. 987-1010
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2005 ◽
Vol 16
(09)
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pp. 941-955
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Keyword(s):
Keyword(s):
1994 ◽
Vol 121
(4)
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pp. 1295-1295
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