| Title: | Variationality of geodesic circles in two dimensions |
| DOI No: | 10.1142/9789812790613_0053 |
| Source: | DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS (pp 635-642)
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| Copyright: | World Scientific Publishing Co. Pte. Ltd. |
| Author(s): | R. Ya. Matsyuk
Institute for Applied Problems in Mechanics and Mathematics, 15 Dudayev St., L'viv, 79005, Ukraine
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| Abstract: | This
note treats the notion of Lagrange derivative for the third order
mechanics in the context of covariant Riemannian geometry. The
variational differential equation for geodesic circles in two
dimensions is obtained. The influence of the curvature tensor on the
Lagrange derivative leads to the emergence of the notion of
quasiclassical spin in the pseudo-Riemannian case. |
| Keywords: | Ostrohrads'kyj mechanics; inverse variational problem; concircular geometry; classical spin
AMSC numbers:
53A40, 70H50, 49N45, 83C10
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| Full Text: | View full text in PDF format (225KB) |
| TOC: | Back to Table of Contents |
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