The Energy of a Domain on the Surface

• Date: 2015
• Main Authors: Altin, A., Алтін, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2003
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...