TY - CHAP
T1 - Willmore energy
T2 - Brief introduction and survey
AU - Toda, Magdalena D.
N1 - Publisher Copyright:
© 2018 by Taylor and Francis Group, LLC.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - The Willmore energy is a type of energy that is studied in differential geometry, physics and mechanics. It was first introduced by Siméon-Denis Poisson and Marie-Sophie Germain, independently, at the beginning of the nineteenth century, but its complete formalism was due to Thomas Willmore. In essence, this type of energy quantitatively measures the deviation of a surface from local sphericity. It is important to note that there is some ambiguity in the literature between the terms bending energy and Willmore energy, and different sources provide different definitions.
AB - The Willmore energy is a type of energy that is studied in differential geometry, physics and mechanics. It was first introduced by Siméon-Denis Poisson and Marie-Sophie Germain, independently, at the beginning of the nineteenth century, but its complete formalism was due to Thomas Willmore. In essence, this type of energy quantitatively measures the deviation of a surface from local sphericity. It is important to note that there is some ambiguity in the literature between the terms bending energy and Willmore energy, and different sources provide different definitions.
UR - http://www.scopus.com/inward/record.url?scp=85052764294&partnerID=8YFLogxK
U2 - 10.1201/9781315151830
DO - 10.1201/9781315151830
M3 - Chapter
AN - SCOPUS:85052764294
SN - 9781498744638
SP - 1
EP - 7
BT - Willmore Energy and Willmore Conjecture
PB - CRC Press
ER -