On the problem of isometry of a hypersurface preserving mean curvature

Bagdatli H., Soyucok Z.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.117, sa.1, ss.49-59, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 117 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s12044-007-0004-2
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.49-59
  • Anahtar Kelimeler: Bonnet hypersurface, Bonnet associate, isometry, mean curvature, preserving, Bonnet curve, A-net, SURFACES
  • Marmara Üniversitesi Adresli: Evet

Özet

The problem of determining the Bonnet hypersurfaces in Rn+1, for n > 1, is Studied here. These hypersurfaces are by definition those that can be isometrically mapped to another hypersurface or to itself (as locus) by at least one nontrivial isometry preserving the mean curvature.