UNIT DUAL SPLIT QUATERNIONS AND ARCS OF DUAL HYPERBOLIC SPHERICAL TRIANGLES

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Kabadayi H.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.64, no.2, pp.35-45, 2015 (ESCI)

• Publication Type: Article / Article
• Volume: 64 Issue: 2
• Publication Date: 2015
• Doi Number: 10.1501/commua1_0000000731
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.35-45
• Keywords: Hyperbolic spherical trigonometry, split quaternion, Lorentzian space
• Ankara University Affiliated: Yes

Abstract

In this paper we obtain the cosine hyperbolic and sine hyperbolic rules for a dual hyperbolic spherical triangle T((A) over tilde, (B) over tilde, (C) over tilde) whose arcs are represented by dual split quaternions.