Parabolicity, projective volume and finiteness of total curvature of minimal surfaces

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We show that finiteness of a projective volume implies finiteness of total curvature for stochastic complete minimal surfaces with finite number of ends and finite genus which may not be geodesically complete. The tools we use include simple stochastic calculus and Nevanlinna theoretic method.

元の言語English
ページ(範囲)227-236
ページ数10
ジャーナルKodai Mathematical Journal
27
発行部数3
DOI
出版物ステータスPublished - 2004 1 1

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ASJC Scopus subject areas

  • Mathematics(all)

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