The Energy of a Domain on the Surface

• Published in: Український математичний журнал
• Date: 2015
• Main Author: Altın, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165521
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Energy of a Domain on the Surface / A. Altın // Український математичний журнал. — 2015. — Т. 67, № 4. — С. 568–573. — Бібліогр.: 7 назв. — англ.

We compute the energy of a unit normal vector field on a Riemannian surface M. It is shown that the energy of the unit normal vector field is independent of the choice of an orthogonal basis in the tangent space. We also define the energy of the surface. Moreover, we compute the energy of spheres, d...