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001-es BibID:	BIBFORM021590
Első szerző:	Tamássy Lajos (matematikus)
Cím:	Angle in Minkowski and Finsler spaces / Lajos Tamássy
Dátum:	2006
Megjegyzések:	Area in Minkowski spaces was given by {\it H. Busemann} [Ann. Math. (2) 48, 234--267 (1947; Zbl 0029.35301)] and studied and often used by others. Infinitesimally a Finsler space is a Minkowski space. So if we can measure area in a Minkowski space, then by integration we obtain the area (of a domain) of a Finsler space. The same holds for submanifolds. The angle of two vectors in a tangent space of the base manifold of a Finsler space attracted less interest. Since the Finsler metric turns the tangent space into a Minkowski space, measuring of angles in a Finsler space reduces to that in a Minkowski space. We show that they are applicable in measuring the deviation of a Finsler space from being Riemanian. Also it can be proved that a diffeomorphism between two Finsler spaces is an isometry iff it keeps angle (in the above sense) and area, similary to the well known result of Riemannian geometry.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban area tangent space diffeomorphism isometry
Megjelenés:	Bulletin de la Société des Sciences et des Lettres de Łódz. Série: Recherches sur les Déformations. - 56 (49) (2006), p. 7-14. -
Internet cím:	Intézményi repozitóriumban (DEA) tárolt változat
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