Geodesic
Minimal submanifolds in general $(\alpha ,\beta )$-spaces
Songting Yin1 ; Qun He2 ; Dinghe Xie2
1 Department of Mathematics Tongji University 200092 Shanghai, China and Department of Mathematics and Computer Science Tongling University 244000 Tongling, Anhui, China
2 Department of Mathematics Tongji University 200092 Shanghai, China
Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 43-59.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The volume forms of general ($\alpha ,\beta $)-metrics are studied. Some equations for minimal submanifolds in general $(\alpha ,\beta )$-spaces are established by using the normal frame field, and some minimal surfaces in general $(\alpha ,\beta )$-spaces with special curvature properties are constructed.
DOI : 10.4064/ap108-1-4
Keywords: volume forms general alpha beta metrics studied equations minimal submanifolds general alpha beta spaces established using normal frame field minimal surfaces general alpha beta spaces special curvature properties constructed

Songting Yin 1 ; Qun He 2 ; Dinghe Xie 2

1 Department of Mathematics Tongji University 200092 Shanghai, China and Department of Mathematics and Computer Science Tongling University 244000 Tongling, Anhui, China
2 Department of Mathematics Tongji University 200092 Shanghai, China 
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Songting Yin; Qun He; Dinghe Xie. Minimal submanifolds in general $(\alpha ,\beta )$-spaces. Annales Polonici Mathematici, Tome 108 (2013) no. 1, pp. 43-59. doi : 10.4064/ap108-1-4. http://geodesic.mathdoc.fr/articles/10.4064/ap108-1-4/

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