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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Nov 19, 2015 - of “deep learning” and in particular, convolutional neural network (CNN) techniques [17, 27], allowing to ... Learning methods have only recently started penetrating into the 3D shape analysis community in ..... the cotangent formu

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Sep 22, 2017 - In order to formalize these ideas, let us begin with some basic preliminaries. Let (M,g) be a .... So, by the Inverse Function Theorem, expq : U ⊂ TqM → V ⊂ M is a diffeomor- phism between certain ... U ⊂ TqM. So, if we define.

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Aug 30, 2010 - chain complex, the Morse–Witten complex, constructed out of the critical ...... geodesics, hence the natural (actually compulsory) option is ...... A. Bruckner, Differentiation of real functions, 2nd ed, CRM Monograph Series 5,.

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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.

Sep 23, 2018 - such a way. However, it seems difficult to study metric spaces with unit ball graphs ... net. 3-sun. Figure 3: Obstructions for unit interval graphs.

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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.

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 ∆

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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.