Deformation of a Manifold Under 1-Parameter Generalized Deformation Motion in E3

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Tuğrul F.

20th International Geometry Symposium, Van, Türkiye, 18 - 20 Haziran 2024, ss.45-46, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Van
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.45-46
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Given the functions, lamda_1{t}, lamda_2{t}, lamda_3{t}€ R^+ and any vector x = (xı,x2,x3) € R^3 , we can write 1-parameter linear generalized defor­mation motion in the form B = hA. Each point of a differentiable manifold can be written as a location vector. Thus, we can write as many 1-parameter linear generalized deformation motions as the number of points of the manifold. In this study, the deformations of the unit circle S^1, cylinder surface, and unit sphere surface S^2 with differentiable manifold structure under 1-parameter generalized defor­mation motion are investigated. Numerical examples were given, and their shapes were drawn in the Matlab program.