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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2009 Number 12, Pages 69–73 (Mi ivm6026)

Brief communications

Pseudoconformally-flat and pseudo-flat quasi-Sasakian manifolds

A. V. Aristarkhova

Chair of Geometry, Moscow State Pedagogical University, Moscow, Russia

Abstract: In this paper we consider a theory of pseudoconformally-flat (i.e., simultaneously contact self-dual and contact anti-self-dual) and pseudo-flat (i.e., simultaneously contact $R$-self-dual and contact $R$-anti-self-dual) 5-dimensional quasi-Sasakian manifolds.

Keywords: quasi-Sasakian manifolds, Sasakian manifolds, cosymplectic manifolds, pseudoconformally-flat manifolds, pseudo-flat manifolds.

UDC: 514.764

Received: 25.05.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:12, 59–62

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