Absolute contact differentiation on submanifolds of Cartan space
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | semiholonomic contact elements; absolute contact differentiation; submanifolds of Cartan spaces; geometric objects of submanifolds |
| Description | We introduce the general concept of higher order absolute differentiation that is based on the idea of semiholonomic contact elements. We clarify how the moving frame methods leads to the coordinate functions of the field of r-th contact elements on a submanifold of Klein space and ofv the r-th absolute contact differential of a submanifold of Cartan space. We point out that the standard geonmetric objects are defined on contact elements, so that they are of universal character. |
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