Incompressibility and least-area surfaces

Gadgil, Siddhartha (2008) Incompressibility and least-area surfaces. In: Expositiones Mathematicae, 26 (1). pp. 93-98.

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Abstract

We show that if F is a smooth, closed, orientable surface embedded in a closed, orientable 3-manifold M such that for each Riemannian metric g on M, F is isotopic to a least-area surface F(g), then F is incompressible.

Item Type:	Journal Article
Publication:	Expositiones Mathematicae
Publisher:	Elsevier
Additional Information:	Copyright of this article belongs to Elsevier.
Keywords:	Incompressible surfaces; Minimal surfaces; Haken manifolds
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	08 Mar 2008
Last Modified:	19 Sep 2010 04:43
URI:	http://eprints.iisc.ac.in/id/eprint/13338

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