Boundary distance functions and \(q\)-convexity of pseudoconvex domains of general order in Kähler manifolds

DOI10.2969/jmsj/04810085zbMath0860.32003OpenAlexW2012888502MaRDI QIDQ1915551

Kazuko Matsumoto

Publication date: 30 June 1996

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04810085

zbMATH Keywords

Kähler manifoldStein manifoldpseudoconvex domainboundary distance function

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) (q)-convexity, (q)-concavity (32F10)

Related Items (12)

Foliations of continuous q-pseudoconcave graphs ⋮ The Hartogs phenomenon in hypersurfaces with constant signature ⋮ TAKEUCHI'S EQUALITY FOR THE LEVI FORM OF THE FUBINI-STUDY DISTANCE TO COMPLEX SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES ⋮ A generalization of the \(q\)-convex case of a theorem of Fornæss and Narasimhan ⋮ Hartogs' analyticity theorem for \(C^2\)-mappings and maximum principle for \(q\)-convex functions ⋮ Unnamed Item ⋮ On convex hulls and pseudoconvex domains generated by \(q\)-plurisubharmonic functions. I ⋮ A Levi problem for discontinuous strictlyq-plurisubharmonic functions ⋮ On the cohomological completeness of q-complete domains with corners ⋮ Weakly 1-complete surfaces with singularities and applications ⋮ A note on meromorphic convexity ⋮ Neighborhoods of Levi \(q\)-convex domains

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