The Energy of a Domain on the Surface

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ALTIN A.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.67, sa.4, ss.641-647, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s11253-015-1128-7
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.641-647
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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, domains on a right circular cylinder and torus, and of the general surfaces of revolution.