Split quaternion and the Lie group S4/3

• Autorzy: Kabadayi H. , Yayli Y.
• Języki publikacji: EN

Abstrakty

EN

In this work we showed that the pseudosphere 3/4 is a Lie group. We obtained a Lie algebra and a Lie product rule of this group. Moreover examining actions of this group we gave some theorems.

Słowa kluczowe

EN

pseudosphere; split quaternion; Lie group; quaternions

PL

pseudosfera; rozkład kwaternionów; grupa Lie; kwaterniony

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 3
• Strony: 601--607
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Kabadayi H.

autor

Yayli Y.

• Ankara University Faculty of Sciences Department of Mathematics 06100 Tandogan, Ankara, Turkey,

Bibliografia

• [1] F. Brickel, R. S. Clark, Differentiable Manifold, Van Nostrand, Reinhold Comp., London, LCCCN 74-125198 (1970).
• [2] B. Karakaş, H. H. Ugurlu, R5 /1 Minkowski 5 uzayinda S4/1 Lie grubu ve C?-etkileri, V. Ulusal Matematik Sempozyumu, Adapazari (1992).
• [3] H. H. Ugurlu, The orbits of points on the space-like region (R5/1)s of the Minkowski 5-space R5/ 1, Journal of the Institute of Science and Technology of Gazi University, Vol. 5 (34 - 42) (1992).
• [4] B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York (1983).
• [5] J. Inoguchi, Time-like surfaces of constant mean curvature in Minkowski 3-space, Tokyo J. Math. Vol. 21, No. 1,140-152, (1998).
• [6] L. Kula, Y. Yayli, Homothetic motions in semi Euclidean space E42, Mathematical Proceedings of the Royal Irish Academy, 105A (1), 9-15 (2005).