Torsion-free path geometries and integrable second order ODE systems

By D. Grossman. 2000

57 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9c811bb9122d696f87943c0e780dd95b9349f9a5

How researchers see this paper

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In Astronomy and Astrophysics

1. D. The
2. B. Kruglikov
3. Andreas Čap

In Geometry and Topology

1. D. The
2. B. Kruglikov
3. Andreas Čap
4. A. Gover
5. C. Graham

In Statistical and Nonlinear Physics

1. D. The
2. B. Kruglikov
3. Andreas Čap

Citations in the corpus

• Correspondence spaces and twistor spaces for parabolic geometries (2001, methodology): “or theory for conformal four manifolds in split signature case. On the other hand, via the notion of path geometries, there is a relation to the geometric theory of systems of second order ODE’s, see [12]. 4.7. For n≥ 2 we consider G= PSL(n+ 2,R) and the parabolic subgroups Pand Pˆ of Gdefined as the”
• The gap phenomenon in parabolic geometries (2013, methodology): “In fact, Grossman [25] shows that integrability of the m-ruling R is a general feature of Segré structures arising from 2nd order ODE systems by establishing an isomorphism of the bundles M → N and the P1-bundle P∆ → N whose fibres parametrize the m-ruling.”
• Two constructions with parabolic geometries (2005, unknown): “Using this, D. Grossman proved in [21] the following result.”