Surfaces on time scales and their metric properties

Advances in Difference Equations

mer Akgller¹  Sibel Paal Atmaca¹ 

[1] Department of Mathematics, Faculty of Science, Mugla University, Mugla, Turkey

关键词: time scales;    delta derivatives;    vector fields;    delta covariant;    first fundamental form;   

DOI  :  10.1186/1687-1847-2013-170

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We present a theoretical framework for surfaces parameterized by the product of two arbitrary time scales. We also study surfaces by delta regular curves lying on them and give their metric tensor known as the first fundamental form with respect to partial delta derivatives.

【 授权许可】

CC BY