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- W1679422303 abstract "We show that the metrical connection can be introduced in the two-dimensional Finsler space such that entailed parallel transports along curves joining points of the underlying manifold keep the two-vector angle as well as the length of the tangent vector, thereby realizing isometries of tangent spaces under the parallel transports. The curvature tensor is found. In case of the Finsleroid-regular space, constructions possess the $C^{infty}$-regular status globally regarding the dependence on tangent vectors. Many involved and important relations are explicitly derived. Keywords: Finsler metrics, angle, connection, curvature tensors" @default.
- W1679422303 created "2016-06-24" @default.
- W1679422303 creator A5051792277 @default.
- W1679422303 date "2009-09-09" @default.
- W1679422303 modified "2023-09-27" @default.
- W1679422303 title "Finslerian angle-preserving connection in two-dimensional case. Regular realization" @default.
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