On the structure of geodesic orbit Riemannian spaces

Feb 21, 2017 - geodesics or geodesic orbit manifold (shortly, GO-manifold) if any ... Lie group G admits a Riemannian metric g such that (M,g) is a GO...

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Jul 4, 2012 - as well as on a related class of Riemannian homogeneous spaces having an additional ... homogeneous space G/H with a normal metric ds2.

Apr 6, 2017 - above terms) a well-known criteria of GO-spaces, see other details and useful facts in [25]. Lemma 1 ([20]). A homogeneous Riemannian space ...

Mar 2, 2018 - viated G.O. manifold, if every geodesic is an orbit of a one-parameter group of isometries. .... (2) [Cm(h),m] ⊂ m and Cm(h) is a subalgebra of g.

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Feb 12, 2016 - The authors would like to thank Marco Radeschi for interesting discussions and useful comments. 2. Preliminaries. 2.1. Orbit spaces and strata.

May 17, 2014 - I am grateful to Roman Karasev who provided some references and encouraged me to write down this note, and to Luis. Montejano for information about recent development in the area. 2. Proof of the theorem. Fix n ≥ 1 and denote by ∆

Dec 3, 2008 - Claim: Let X be a proper, geodesic, Ptolemy metric space. Let further ..... If affine functions separate points, then Ao : X → Eo is an isometry.

Apr 28, 2011 - geodesics or geodesic orbit manifold (shortly, GO-manifold) if any geodesic γ of M ... L. Vanhecke classified all GO-spaces of dimension ≤ 6.


Jul 2, 2018 - (A,B)∈Cdist(A, sC δg−α(A, B)) ⩾ δg, for all (A, B) ∈ C. Proof. For all (A, B) ∈ C with dist(A, B) < δg, denote by γA,B the minimal unit speed.

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Jun 28, 2013 - ... Solodovnikov, A.S.: Spaces with common geodesics, Tr. Semin. Vektor. Tenzor. ... [35] Vranceanu, G.: Leçons de geometri différentielle, vol.

Feb 20, 2010 - The action is free, discrete and preserves the metric and the quadratic integral ...... xpy(fax + fby + 2fxa + fyb) + pyp2 x(fbx + fcy + fxb + 2fyc) + p3.

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Jan 23, 2014 - Let M be a complete Riemannian manifold. For a point p ∈ M, let TpM be the tangent space at p and expp : TpM → M be the exponential map.