This article is cited in 2 papers

Almost Kählerian manifolds of hyperbolic type

V. F. Kirichenko, V. V. Konnov

Moscow State Pedagogical University

Abstract: We study the geometry of completely real submanifolds of almost Kählerian manifolds of hyperbolic type. The main aim is the study of the geometry of the manifold of non-degenerate null pairs of the real projective space. We obtain a complete classification of its totally geodesic Lagrangian submanifolds and describe their construction.

UDC: 513.7

MSC: 53C15, 53B20, 53C50, 53C55, 58A30

Received: 19.01.2000

DOI: 10.4213/im442

 English version: Izvestiya: Mathematics, 2003, 67:4, 655–694

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