Timelike Christoffel pairs in the split-quaternions

• Autorzy: M. P. Dussan , M. Magid
• Języki publikacji: EN

Abstrakty

EN

We characterize the Christoffel pairs of timelike isothermic surfaces in the four-dimensional split-quaternions. When restricting the receiving space to the three-dimensional imaginary split-quaternions, we establish an equivalent condition for a timelike surface in ℝ³₂ to be real or complex isothermic in terms of the existence of integrating factors.

Kategorie tematyczne

• 53A30: Conformal differential geometry
• 53C50: Lorentz manifolds, manifolds with indefinite metrics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 99
• Numer: 2
• Strony: 201-214

Daty

wydano

2010

Twórcy

autor

M. P. Dussan

• Departamento de Matemática - IME, Universidade de São Paulo, CEP: 05508-090, São Paulo S.P., Brazil

autor

M. Magid

• Department of Mathematics, Wellesley College, Wellesley, MA 02458. U.S.A.

Identyfikatory

DOI

10.4064/ap99-2-7