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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2017 Volume 298, Pages 356–367 (Mi tm3819)

Discs in Hulls of Real Immersions into Stein Manifolds

R. Shafikova, A. Sukhovb

a Department of Mathematics, University of Western Ontario, London, Ontario, N6A 5B7, Canada
b UFR de Mathématiques, Université de Lille, Sciences et Technologies, 59655 Villeneuve d'Ascq Cedex, France

Abstract: We obtain results on existence of complex discs in plurisubharmonically convex hulls of Lagrangian and totally real immersions to Stein manifolds.

Keywords: Stein manifold, symplectic structure, totally real manifold, Lagrangian manifold, plurisubharmonically convex hull, complex disc.

UDC: 517.55

MSC: 32E20, 32E30, 32V40, 53D12

Received: November 17, 2016

DOI: 10.1134/S0371968517030207


 English version:
Proceedings of the Steklov Institute of Mathematics, 2017, 298, 334–344

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© Steklov Math. Inst. of RAS, 2024