Generalized plane wave manifolds
Peter B. Gilkey, Stana Ž. Nikčević (2005)
Kragujevac Journal of Mathematics
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Peter B. Gilkey, Stana Ž. Nikčević (2005)
Kragujevac Journal of Mathematics
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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.
Prvanović, Mileva (2005)
Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
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Ryszard Deszcz (1993)
Colloquium Mathematicae
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Boja, Nicolae (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Róbert Szőke (1998)
Annales Polonici Mathematici
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We prove that every compact, normal Riemannian homogeneous manifold admits an adapted complex structure on its entire tangent bundle.
Stavre, Petre, Popescu, Liviu (2002)
Novi Sad Journal of Mathematics
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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].
Urban, R. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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