caa a22 4500 44581330X CHVBK 20180317145218.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s00022-011-0075-1 doi (NATIONALLICENCE)springer-10.1007/s00022-011-0075-1 Metric kinematic planes and their representation by ν -local systems [Elektronische Daten] [Helmut Karzel, Kay Sörensen] Planes with a regularly operating commutative group and with reflections on the lines through a distinguished point o, such that the 3-reflection theorem is valid for any three lines through o, are characterized algebraically as subplanes of locally euclidean planes. A slight weakening of the conditions yields to locally pseudo euclidean planes. Springer Basel AG, 2011 Absolute plane nationallicence (pseudo) Rectangular plane nationallicence (locally) (pseudo) Euclidean plane nationallicence Lotkerngeometrie nationallicence ν -Local system nationallicence Metric ν -local algebra nationallicence Kinematic algebra nationallicence Karzel Helmut Zentrum Mathematik, Technische Universität München, 80290, Munich, Germany aut Sörensen Kay Zentrum Mathematik, Technische Universität München, 80290, Munich, Germany aut Journal of Geometry SP Birkhäuser Verlag Basel 100/1-2(2011-04-01), 85-103 0047-2468 100:1-2<85 2011 100 22 https://doi.org/10.1007/s00022-011-0075-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00022-011-0075-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Karzel Helmut Zentrum Mathematik, Technische Universität München, 80290, Munich, Germany aut NATIONALLICENCE 700 1- Sörensen Kay Zentrum Mathematik, Technische Universität München, 80290, Munich, Germany aut NATIONALLICENCE 773 0- Journal of Geometry SP Birkhäuser Verlag Basel 100/1-2(2011-04-01), 85-103 0047-2468 100:1-2<85 2011 100 22 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer