İzotropik 3‐Uzayda Yüzeyler Üzerine Sınıflandırma Sonuçları

Year 2016, Volume: 16 Issue: 2, 239 - 246, 30.04.2016

Muhittin Evren Aydın

Abstract

İzotropik 3‐uzay 􀥴􀬷 Cayley‐Klein uzaylarından biridir ve Öklidyen uzayda standart Öklidyen uzaklık ile

izotropik uzaklığın değişiminden elde edilir. Bu çalışmada, 􀥴􀬷 uzayında, sabit relatif (izotropik Gauss) ve

sabit izotropik ortalama eğrilikli yüzeyler üzerine çeşitli sınıflandırmalar ifade edilmiştir. Özel olarak, 􀥴􀬷

uzayında sabit eğrilikli helikoidal yüzeyler sınıflandırılıp, bu yüzeyler üzerinde bazı özel eğriler analiz

edilmiştir.

Keywords

İzotropik uzay, Helikoidal yüzey, İzotropik ortalama eğrilik, Relatif eğrilik, Jeodezik, Asimptotik eğri.

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