Geodesic
Timelike Christoffel pairs in the split-quaternions
M. P. Dussan1 ; M. Magid2
1 Departamento de Matemática - IME Universidade de São Paulo CEP: 05508-090 São Paulo S.P., Brazil
2 Department of Mathematics Wellesley College Wellesley, MA 02458. U.S.A.
Annales Polonici Mathematici, Tome 99 (2010) no. 2, pp. 201-214 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 $\mathbb R^3_2$ to be real or complex isothermic in terms of the existence of integrating factors.
DOI : 10.4064/ap99-2-7
Keywords: characterize christoffel pairs timelike isothermic surfaces four dimensional split quaternions restricting receiving space three dimensional imaginary split quaternions establish equivalent condition timelike surface mathbb real complex isothermic terms existence integrating factors

M. P. Dussan 1 ; M. Magid 2

1 Departamento de Matemática - IME Universidade de São Paulo CEP: 05508-090 São Paulo S.P., Brazil
2 Department of Mathematics Wellesley College Wellesley, MA 02458. U.S.A. 
@article{10_4064_ap99_2_7,
     author = {M. P. Dussan and M. Magid},
     title = {Timelike {Christoffel} pairs in the split-quaternions},
     journal = {Annales Polonici Mathematici},
     pages = {201--214},
     year = {2010},
     volume = {99},
     number = {2},
     doi = {10.4064/ap99-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap99-2-7/}
}
TY  - JOUR
AU  - M. P. Dussan
AU  - M. Magid
TI  - Timelike Christoffel pairs in the split-quaternions
JO  - Annales Polonici Mathematici
PY  - 2010
SP  - 201
EP  - 214
VL  - 99
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap99-2-7/
DO  - 10.4064/ap99-2-7
LA  - en
ID  - 10_4064_ap99_2_7
ER  - 
%0 Journal Article
%A M. P. Dussan
%A M. Magid
%T Timelike Christoffel pairs in the split-quaternions
%J Annales Polonici Mathematici
%D 2010
%P 201-214
%V 99
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap99-2-7/
%R 10.4064/ap99-2-7
%G en
%F 10_4064_ap99_2_7
M. P. Dussan; M. Magid. Timelike Christoffel pairs in the split-quaternions. Annales Polonici Mathematici, Tome 99 (2010) no. 2, pp. 201-214. doi: 10.4064/ap99-2-7

Cité par Sources :