Density Estimates for Compact Surfaces with Total Boundary Curvature Less Than 4π

Theodora Bourni, Giuseppe Tinaglia

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper we obtain density estimates for compact surfaces immersed in R-n with total boundary curvature less than 4 pi and with sufficiently small L-p norm of the mean curvature, p >= 2. In fact we show that these estimates hold for compact branched immersions. Our results generalize the main results in [2]. We then apply our estimates to discuss the geometry and topology of such surfaces.

Original languageEnglish
Pages (from-to)1870-1886
Number of pages17
JournalCOMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume37
Issue number10
Early online date4 Sept 2012
DOIs
Publication statusPublished - Oct 2012

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