Higher order connections.
Eastwood, Michael G. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Eastwood, Michael G. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Deshmukh, Sharief, Al-Odan, Haila, Shaman, Tahany A. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Oldřich Kowalski (1993)
Commentationes Mathematicae Universitatis Carolinae
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We extend a construction by K. Yamato [Ya] to obtain new explicit examples of Riemannian 3-manifolds as in the title. Some of these examples have an interesting geometrical interpretation.
Čomić, Irena (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Burdujan, Ilie (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Neda Bokan (2003)
Kragujevac Journal of Mathematics
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Paredes, Marlio, Pinzón, Sofía (2007)
Revista Colombiana de Matemáticas
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Stefan Haesen (2005)
Kragujevac Journal of Mathematics
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Wanas, M.I., Youssef, Nabil L., Sid-Ahmed, A.M. (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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Oldřich Kowalski, Barbara Opozda, Zdeněk Vlášek (2004)
Open Mathematics
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The aim of this paper is to classify (lócally) all torsion-less locally homogeneous affine connections on two-dimensional manifolds from a group-theoretical point of view. For this purpose, we are using the classification of all non-equivalent transitive Lie algebras of vector fields in ℝ2 according to P.J. Olver [7].