CONSTANT PSEUDO-ANGLE LIGHTLIKE SURFACES

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Atıf İçin Kopyala

TUĞ G.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.72, sa.3, ss.737-760, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 72 Sayı: 3
• Basım Tarihi: 2023
• Doi Numarası: 10.31801/cfsuasmas.1133106
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.737-760
• Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The oriented angles between lightlike vectors cannot be defined properly compared to the timelike vectors in the Minkowski spacetime. Therefore, we use the pseudo-angles between any non-lightlike or lightlike vectors to develop the theory of lightlike surfaces having constant angle with a fixed nonlightlike direction. We investigate some geometric properties on these surfaces such as being a tangent developable. Besides, we construct the constant angle lightlike ruled surfaces by means of the null helices. We give several examples to illustrate the obtained surfaces.