Results 121 to 130 of about 71,381 (220)
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
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Symplectic, Hofer and sub-Riemannian geometry
The purpose of this note is to make some connection between the sub-Riemannian geometry on Carnot-Caratheodory groups and symplectic geometry. We shall concentrate here on the Heisenberg group, although it is transparent that almost everything can be done on a general Carnot-Caratheodory group.
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Comparison theorems for conjugate points in sub-Riemannian geometry [PDF]
Davide Barilari, Luca Rizzi
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On the Hausdorff volume in sub-Riemannian geometry
Andrei Agrachev +2 more
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Dilatation structures in sub-riemannian geometry
Based on the notion of dilatation structure arXiv:math/0608536, we give an intrinsic treatment to sub-riemannian geometry, started in the paper arXiv:0706.3644 . Here we prove that regular sub-riemannian manifolds admit dilatation structures. From the existence of normal frames proved by Bellaiche we deduce the rest of the properties of regular sub ...
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Recognition of motor intentions from EEGs of the same upper limb by signal traceability and Riemannian geometry features. [PDF]
Zhang M, Huang J, Ni S.
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Singularities in sub-Riemannian geometry
We investigate the relationship between features of of sub-Riemannian geometry and an array of singularities that typically arise in this context.With sub-Riemannian Whitney theorems, we ensure the existence of global extensions of horizontal curves defined on closed set by requiring a non-singularity hypothesis on the endpoint-map of the nilpotent ...
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Sub-Riemannian geometry of the coefficients of univalent functions [PDF]
Irina Markina +2 more
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Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]
Magnabosco M, Rossi T.
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