Supplement to Pseudoconvex Domains on a Kähler Manifold with Positive Holomorphic Bisectional Curvature | Zendy

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Supplement to Pseudoconvex Domains on a Kähler Manifold with Positive Holomorphic Bisectional Curvature

Author(s) -

Osamu Suzuki

Publication year - 1976

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195190724

Subject(s) - holomorphic function , mathematics , curvature , metric (unit) , kähler manifold , manifold (fluid mechanics) , pure mathematics , domain (mathematical analysis) , regular polygon , topology (electrical circuits) , complex manifold , class (philosophy) , mathematical analysis , combinatorics , geometry , computer science , business , artificial intelligence , engineering , mechanical engineering , marketing

In O. Suzuki [3], the author proved that if M has a real analytic kahler metric with positive holomorphic bisectional curvature, then every relatively compact pseudoconvex domain in M is holomorphically convex. After the completion of O. Suzuki [3], the paper of G. Elencwajg [1] appeared. There he proved the same result as in O. Suzuki [3] in the case of kahler metrics of C°°-class. Therefore we see that both results

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