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20022009
most citedMatrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems

1.8k citations

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9 papers · 1 filter

math.DG200813 cited

On automorphism groups of some types of generic distributions

Andreas Cap, Katharina Neusser

To certain types of generic distributions (subbundles in a tangent bundle) one can associate canonical Cartan connections. Many of these constructions fall into the class of parabo…

math.DG200720 cited

On Nurowski's conformal structure associated to a generic rank two distribution in dimension five

Andreas Cap, Katja Sagerschnig

For a generic distribution of rank two on a manifold of dimension five, we introduce the notion of a generalized contact form. To such a form we associate a generalized Reeb fi…

math.DG200718 cited

Curved Casimir Operators and the BGG Machinery

Andreas Cap, Vladimir Soucek

We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arb…

math.DG2004

Global Gronwall Estimates for Integral Curves on Riemannian Manifolds

Michael Kunzinger, Hermann Schichl, Roland Steinbauer +1

We prove Gronwall-type estimates for the distance of integral curves of smooth vector fields on a Riemannian manifold. Such estimates are of central importance for all methods of s…

math.DG2004

The Auslander conjecture for NIL-affine crystallographic groups

Dietrich Burde, Karel Dekimpe, Sandra Deschamps

Let N be a simply connected, connected real nilpotent Lie group of finite dimension n. We study subgroups in $\Aff (N)=N\rtimes \Aut (N)$ acting properly discontinuously and co…

math.DG2003

Completing Lie algebra actions to Lie group actions

Franz W. Kamber, Peter W. Michor

For a finite dimensional Lie algebra $\g$ of vector fields on a manifold we show that can be completed to a -space in a unversal way, which however is neither Hausdorff…