Filiz ERTEM KAYA

Sabit Ortalama Eğrilikli Bishop Çatılı Tubular Yüzeylerin Enerjileri

Bu makalede μ : M → G Öklid metrikli Bishop çatılı Tubular yüzeylerinHelfrich ve Willmore enerjileri hesaplandı and Bishop çatılı Tubular yüzeylerinHelfrich ve Willmore enerjilerinin bulunmasında vebazı teoremlerin verilmesindediferensiyel geometrideki eğriliklerinin ne denli önemli olduğu görüldü. Bu hesaplamalar her ne kadar diferensiyel geometri için eğriliklerin önemli olduğunuispatlasa da de aslında bu hesaplamalar matematiksel fizik için de önem arz etmektedir.

Energies with Constant Mean Curvature of Tubular Surfaces by Bishop Frame

In this paper Euclidean metric induced by μ : M → G be the mean curvature of Tubular surfaces by Bishop frame are computed and the curvatures in differential geometry that are soimportant for computing the Helfrich and Willmore energy of the tubular surfaces by bishop frame and giving some theorems are seen. Even though these calculations are very important to prove that the curvatures are very important in differential geometry, in actually these calculations are clearly important as mathematical physics.

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