Journal ArticleDOI
Cones for the Moulton planes
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In this article, a two-parameter family of affinely connected surfaces which admit the cylinder group as a collineation group of their geodesics is presented, and the Moulton Planes in the radial model of Betten, the circular cone, as well as the real affine plane are part of this family.Abstract:
We present a two-parameter family of affinely connected surfaces which admit the cylinder group as a collineation group of their geodesics. The Moulton Planes in the radial model of Betten, the circular cone, as well as the real affine plane, are part of this family. The Moulton Planes occur in this family in the same way as the real affine plane is contained in a family of cones with decreasing steepness.read more
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MonographDOI
Differential Geometry of Special Mappings
Josef Mikeš,Elena Stepanova,Alena Vanžurová,Bácso Sándor,Vladimir Berezovski,Elena Chepurna,Marie Chodorová,Hana Chudá,Michail Gavrilchenko,Michael Haddad,Irena Hinterleitner,Marek Jukl,Lenka Juklová,Dzhanybek Moldobaev,Patrik Peška,I. G. Shandra,Mohsen Shiha,Dana Smetanová,Sergej Stepanov,Vasilij Sobchuk,Irina Tsyganok +20 more
TL;DR: The theory of manifolds with affine connection has been studied in this paper, where the authors deal with the theory of conformal, geodesic, and projective mappings and transformations.
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Book
Non-Riemannian geometry
TL;DR: Asymmetric connections Symmetric connections Projective geometry of paths The geometry of subspaces Bibliography as discussed by the authors, see Section 2.1 for a survey of the main sources.