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University of Illinois at Urbana-Champaign

Volume and Energy Stability for Immersions (Harmonic, Minimal)

Abstract

dc:description

Much work has been done on minimal submanifolds of a given manifold and also on harmonic maps between manifolds. It is known, for instance, that the critical sets of the volume functional and the energy functional coincide for a Riemannian immersion f between two Riemannian manifolds.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Mathematics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2014

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Hvidsten, Michael David

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Identifier
(UMI)AAI8600213
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/71237

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Hvidsten, Michael David. Volume and Energy Stability for Immersions (Harmonic, Minimal). Dissertation thesis, University of Illinois at Urbana-Champaign, 2014. http://hdl.handle.net/2142/71237