A note on geodesic mappings of pseudosymmetric Riemannian manifolds
Filip Defever, Ryszard Deszcz (1991)
Colloquium Mathematicae
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Displaying similar documents to “Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.”
A note on geodesic mappings of pseudosymmetric Riemannian manifolds
Geodesic graphs on special 7-dimensional g.o. manifolds
Zdeněk Dušek, Oldřich Kowalski (2006)
Archivum Mathematicum
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In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds in dimension 7, Differential Geom. Appl. 21 (2004), 65–78.), the present authors and S. Nikčević constructed the 2-parameter family of invariant Riemannian metrics on the homogeneous manifolds and . They proved that, for the open dense subset of this family, the corresponding Riemannian manifolds are g.o. manifolds which are not naturally reductive. Now we are going to investigate the remaining...
Geodesic Mappings on Compact Riemannian Manifolds with Conditions on Sectional Curvature
Irena Hinterleitner (2013)
Publications de l'Institut Mathématique
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Lorentzian geometry in the large
John Beem (1997)
Banach Center Publications
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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...
Riemannian Submersions of Compact Simple Lie Groups with Connected Totally Geodesic Fibres.
Akhil Ranjan (1986)
Mathematische Zeitschrift
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Riemannian Manifolds with Flat Ends.
V. Schroeder, J.H. Eschenburg (1987)
Mathematische Zeitschrift
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Some remarks on -actions with sections
Elisa Gage Casini (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Jacobi fields and its application of normal contact Lorentzian manifolds.
Toshihiko, Ikawa (2000)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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On the spectrum of Riemannian submersions with totally geodesic fibers
Gérard Besson, Manlio Bordoni (1990)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this Note we give a rule to compute explicitely the spectrum and the eigenfunctions of the total space of a Riemannian submersion with totally geodesic fibers, in terms of the spectra and eigenfunctions of the typical fiber and any associated principal bundle.