finsler geometry, hypercomplex numbers and physics
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Generalized-analytical functions and the congruence of geodetic.
2004jbx | Garas'ko G. I.

Some properties of generalized-analytical functions of poly-number variable are being studied in this job. We can confront many spaces of affine connectedness with the $\{f^i;\Gamma^{i}_{kj}\}$ class of such functions. In each space the congruence of geodetic associated with the given class of general-analytic functions is defined. If the vector field $f^i$ is tangent to one of the geodetic of congruence in each point of space there are certain restrictions for the generalized-analytical function itself.


English: Russian:
02-03.pdf, 502,768 Kb, PDF
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