Results 1 to 10 of about 479 (34)
Non-minimality of corners in subriemannian geometry [PDF]
, 2016 We give a short solution to one of the main open problems in subriemannian geometry. Namely, we prove that length minimizers do not have corner-type singularities.
C Golé +13 more
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On some geometric properties of currents and Frobenius theorem [PDF]
, 2017 In this note we announce some results, due to appear in [2], [3], on the structure of integral and normal currents, and their relation to Frobenius theorem.
Alberti, Giovanni, Massaccesi, Annalisa
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Homotheties and topology of tangent sphere bundles [PDF]
, 2014 We prove a Theorem on homotheties between two given tangent sphere bundles $S_rM$ of a Riemannian manifold $M,g$ of $\dim\geq 3$, assuming different variable radius functions $r$ and weighted Sasaki metrics induced by the conformal class of $g$.
M.T.K. Abbassi +11 more
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The Lichnerowicz theorem on CR manifolds [PDF]
, 2006 We obtain a Bochner type formula and an estimate from below on the spectrum of the sublaplacian of a compact strictly pseudoconvex CR manifold.Comment: 21 ...
Barletta, Elisabetta
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Weighted metrics on tangent sphere bundles [PDF]
, 2010 Natural metric structures on the tangent bundle and tangent sphere bundles $S_rM$ of a Riemannian manifold $M$ with radius function $r$ enclose many important unsolved problems. Admitting metric connections on $M$ with torsion, we deduce the equations of
Albuquerque, Rui
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A metric characterization of Carnot groups
, 2014 We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically ...
Donne, Enrico Le
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A note on sub-Riemannian structures associated with complex Hopf fibrations
, 2012 Sub-Riemannian structures on odd-dimensional spheres respecting the Hopf fibration naturally appear in quantum mechanics. We study the curvature maps for such a sub-Riemannian structure and express them using the Riemannian curvature tensor of the Fubini-
Chang +8 more
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A new differentiation, shape of the unit ball and perimeter measure [PDF]
, 2015 We present a new blow-up method that allows for establishing the first general formula to compute the perimeter measure with respect to the spherical Hausdorff measure in noncommutative nilpotent groups. This result leads us to an unexpected relationship
Magnani, Valentino
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Moving frames for cotangent bundles
, 2002 Cartan's moving frames method is a standard tool in riemannian geometry. We set up the machinery for applying moving frames to cotangent bundles and its sub-bundles defined by non-holonomic constraints.Comment: 13 pages, to appear in Rep.
Ehlers, K. M. +2 more
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On Jacobi fields and canonical connection in sub-Riemannian geometry [PDF]
, 2017 In sub-Riemannian geometry the coefficients of the Jacobi equation define curvature-like invariants. We show that these coefficients can be interpreted as the curvature of a canonical Ehresmann connection associated to the metric, first introduced in ...
Barilari, Davide, Rizzi, Luca
core +4 more sources