THE SPIRALS ON THE OBLATE AND PROLATE SPHEROIDS OF LORENTZ-MINKOWSKI 3- SPACE R₁<SUP>3</SUP>

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Bulut V., UĞURLU H. H.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.38, sa.2, ss.285-299, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 38 Sayı: 2
• Basım Tarihi: 2023
• Doi Numarası: 10.22190/fumi210830020b
• Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.285-299
• Gazi Üniversitesi Adresli: Evet

Özet

Spirials are differentiable curves that meet all meridians of a rotational surface at a constant angle. In this study, we obtain differential equations of all spirals on hyperbolic oblate and Lorentzian prolate spheroids. Then we define the general parametrizations of spirals which are solutions of differential equations.