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2022/101/1-2 (14) — DOI: 10.5486/PMD.2022.9317 — pp. 259-261

Non-existence of compact homogeneous $P$-Sasakian manifolds

Authors: Antonio Lotta

Abstract:

We show that there exist no compact homogeneous $P$-Sasakian manifolds whose structure vector field is invariant under the given Lie group action.

Keywords: $P$-Sasakian manifold, homogeneous manifold

Mathematics Subject Classification: 53C15, 53C25, 53C30