JournalscmhVol. 72 , No. 1DOI 10.1007/pl00000367

Complete surfaces of at most quadratic area growth

  • P. Li

    University of California, Irvine, USA
Complete surfaces of at most quadratic area growth cover

Abstract

In this article, we study complete surfaces with finite topological type and has at most quadratic area growth. In particular, we show that if the curvature of such a surface does not change sign, then it must be of finite total curvature.