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, ss.49-59, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 117 Konu: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1007/s12044-007-0004-2
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.49-59

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.