The volume forms of general (α,β)-metrics are studied. Some equations for minimal submanifolds in general (α,β)-spaces are established by using the normal frame field, and some minimal surfaces in general (α,β)-spaces with special curvature properties are constructed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-4,
author = {Songting Yin and Qun He and Dinghe Xie},
title = {Minimal submanifolds in general ($\alpha$,$\beta$)-spaces},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {43-59},
zbl = {1266.53067},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-4}
}
Songting Yin; Qun He; Dinghe Xie. Minimal submanifolds in general (α,β)-spaces. Annales Polonici Mathematici, Tome 107 (2013) pp. 43-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap108-1-4/