LAPLACE-BELTRAMI OPERATOR OF A HELICOIDAL HYPERSURFACE IN FOUR-SPACE

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GÜLER E., Magid M., YAYLI Y.

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, cilt.41, ss.77-95, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41
  • Basım Tarihi: 2016
  • Doi Numarası: 10.7546/jgsp-41-2016-77-95
  • Dergi Adı: JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.77-95
  • Anahtar Kelimeler: Gaussian curvature, Helicoidal hypersurface, Laplace-Beltrami operator, mean curvature, SURFACES, SPACE, R(4)
  • Ankara Üniversitesi Adresli: Evet

Özet

We introduce helicoidal hypersurface in the four dimensional Euclidean space. We calculate the mean and the Gaussian curvature, and some relations of the helicoidal hypersurface. Then we give the Laplace-Beltrami operator of the helicoidal hypersurface.