Some properties of ruled surfaces under homothety in E3

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Kasap E., YÜCE S., Kuruoǧlu N.

Mathematical and Computational Applications, cilt.7, sa.3, ss.235-239, 2002 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 3
  • Basım Tarihi: 2002
  • Doi Numarası: 10.3390/mca7030235
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.235-239
  • Anahtar Kelimeler: Connection Preserving Map, Homothety, Ruled Surface
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

It is clearly that, If f : E3 → E3 is a homothety and φ is a surface in three dimensional Euclidean space E3, f(φ) = φ̄ is also a surface in E3. In this paper, the surface φ has been taken a ruled surface, specially. It was shown that image surface f(φ) = φ̄ has been a ruled surface, too. Furthermore, It was investigated whether some properties related with ruled surfaces on φ have been invariant under the homothety f or not.