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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)227-236
Number of pages10
JournalKodai Mathematical Journal
Volume27
Issue number3
DOIs
Publication statusPublished - 2004

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Total curvature
Minimal surface
Finiteness
Stochastic Calculus
Genus
Imply

Keywords

  • Brownian motion
  • Minimal surface
  • Nevanlinna theory

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Parabolicity, projective volume and finiteness of total curvature of minimal surfaces. / Atsuji, Atsushi.

In: Kodai Mathematical Journal, Vol. 27, No. 3, 2004, p. 227-236.

Research output: Contribution to journalArticle

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