Some Results and Characterizations for Mannheim Offsets of Ruled Surfaces

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Atıf İçin Kopyala

Onder M., UĞURLU H. H.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.34, sa.1, ss.85-98, 2016 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 34 Sayı: 1
• Basım Tarihi: 2016
• Doi Numarası: 10.5269/bspm.v34i1.24756
• Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.85-98
• Gazi Üniversitesi Adresli: Evet

Özet

In this study, we give dual characterizations for Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization for the Mannheim offsets of a developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim partner curves. Furthermore, we obtain the relationships between the area of projections of spherical images for Mannheim offsets of ruled surfaces and their integral invariants.