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

Atsushi Atsuji

doi:10.2996/kmj/1104247348

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

Atsushi Atsuji

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	227-236
Number of pages	10
Journal	Kodai Mathematical Journal
Volume	27
Issue number	3
DOIs	https://doi.org/10.2996/kmj/1104247348
Publication status	Published - 2004

Keywords

Brownian motion
Minimal surface
Nevanlinna theory

ASJC Scopus subject areas

Mathematics(all)

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10.2996/kmj/1104247348

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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.",

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author = "Atsushi Atsuji",

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KW - Minimal surface

KW - Nevanlinna theory

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

Abstract

Keywords

ASJC Scopus subject areas

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