Results 1 to 10 of about 26,118 (326)
Arithmeticity, superrigidity, and totally geodesic submanifolds [PDF]
Annals of Mathematics, 2021 Corrected proof of folklore Proposition 3.1 and filled in minor omission in the proof of Lemma 3 ...
Uri Bader +3 more
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Planar Pseudo-geodesics and Totally Umbilic Submanifolds. [PDF]
J Geom Anal, 2023 AbstractWe study totally umbilic isometric immersions between Riemannian manifolds. First, we provide a novel characterization of the totally umbilic isometric immersions with parallel normalized mean curvature vector, i.e., those having nonzero mean curvature vector and such that the unit vector in the direction of the mean curvature vector is ...
Markvorsen S, Raffaelli M.
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Totally geodesic submanifolds of Teichmüller space [PDF]
Journal of Differential Geometry, 2020 We show that any totally geodesic submanifold of Teichmuller space of dimension greater than one covers a totally geodesic subvariety, and only finitely many totally geodesic subvarieties of dimension greater than one exist in each moduli space.
Alex Wright
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Totally Geodesic and Parallel Hypersurfaces of Siklos Spacetimes [PDF]
International Journal of Geometric Methods in Modern Physics, 2023 In this paper, we classify and describe totally geodesic and parallel hypersurfaces for the entire class of Siklos spacetimes. A large class of minimal hypersurfaces is also described.
Giovanni Calvaruso +2 more
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Totally geodesic orbits of isometries
Annals of Global Analysis and Geometry, 1997 We study cohomogeneity one Riemannian manifolds and we establish some simple criterium to test when a singular orbit is totally geodesic. As an application, we classify compact, positively curved Riemannian manifolds which are acted on isometrically by a
Podesta, Fabio, Verdiani, Luigi
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Totally geodesic surfaces with arbitrarily many compressions [PDF]
, 2010 A closed totally geodesic surface in the figure eight knot complement remains incompressible in all but finitely many Dehn fillings. In this paper, we show that there is no universal upper bound on the number of such fillings, independent of the surface.
Benedetti +10 more
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Totally geodesic submanifolds of a trans-Sasakian manifold; pp. 249–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We consider invariant submanifolds of a trans-Sasakian manifold and obtain the conditions under which the submanifolds are totally geodesic. We also study invariant submanifolds of a trans-Sasakian manifold satisfying Z(X, Y).h = 0, where Z is the ...
Avik De
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The graph of a totally geodesic foliation [PDF]
Annales Polonici Mathematici, 1995 The notion of graph (holonomy groupoid) GR\((L)\) of a foliation \(\{L\}\) was introduced by C. Ehresmann, it was later studied in some detail by H. Winkelnkemper, who was interested primarily in Riemannian foliations (the graph in this case is Hausdorff). Totally geodesic and Riemannian foliations are dual in a certain sense and both are partial cases
Robert Wolak
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Totally geodesic surfaces and homology [PDF]
Algebraic & Geometric Topology, 2006 We construct examples of hyperbolic rational homology spheres and hyperbolic knot complements in rational homology spheres containing closed embedded totally geodesic surfaces.
Jason DeBlois
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Geodesics on Lie groups: Euler equations and totally geodesic subgroup [PDF]
, 2010 The geodesic motion on a Lie group equipped with a left or right invariant Riemannian metric is governed by the Euler-Arnold equation. This paper investigates conditions on the metric in order for a given subgroup to be totally geodesic. Results on the
Marsland, S. +3 more
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