Results 51 to 60 of about 3,198,197 (181)
On an evolution equation in sub-Finsler geometry
Analysis and Geometry in Metric SpacesWe study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
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Heat content asymptotics in sub-Riemannian geometry
, 2021 Sub-Riemannian geometry is a particularly rich class of metric structures, which generalizes Riemannian geometry, where a smoothly varying metric is defined only on a subset of preferred directions of the tangent space at each point of a smooth manifold ...
Rossi, Tommaso
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On some synthetic curvature conditions in sub-Riemannian geometry
, 2023 reservedIn recent years there has been much interest in generalizing the notion of Ricci curvature to spaces more general than Riemannian manifolds. In one direction some differential invariants generalizing the Ricci tensor have been introduced for ...
STERZI, DARIO
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Zeta function rigidity : a view from noncommutative geometry [PDF]
, 2011 In this thesis we study the zeta function formalism of finitely summable spectral triples in noncommutative geometry introduced by Alain Connes in 1995.
de Jong, J.W.W. +2 more
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Corrections to: ``Sub-Riemannian geometry''
Journal of Differential Geometry, 1989 An error in the proof of Corollary 6.2 of [1] has been pointed out by Gerard Ben-Arous. The computation of M(x,λ) in the case λo = 0 on p. 243 is incorrect, because M(x,λ) = 0 when λ0 = 0 and λjg (x) = 0 for all k. (There is also a factor of \ missing in the formula as stated for λ0 φ 0, but this is not significant.) Thus when applying the Pontryagin ...
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A connection theoretic approach to sub-Riemannian geometry [PDF]
Journal of Geometry and Physics, 2003 We use the notion of generalized connection over a bundle map in order to present an alternative approach to sub-Riemannian geometry. Known concepts, such as normal and abnormal extremals, will be studied in terms of this new formalism. In particular, some necessary and sufficient conditions for the existence of abnormal extremals will be derived.
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Analysis and Geometry in Metric Spaces, 2013 In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca +2 more
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Variation of Perimeter Measure in sub-Riemannian geometry
, 2007 37 ...
HLADKY, Robert K., PAULS, Scott D.
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Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry
Journal de l’École polytechnique — Mathématiques, 2023 We use techniques from nonsmooth analysis and geometric measure theory to provide new examples of complete sub-Riemannian structures satisfying the Minimizing Sard conjecture. In particular, we show that complete sub-Riemannian structures associated with distributions of co-rank 2
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Left-invariant paracontact metric structure on a group Sol
Дифференциальная геометрия многообразий фигурAmong Thurston's famous list of eight three-dimensional geometries is the geometry of the manifold Sol. The variety Sol is a connected simply connected Lie group of real matrices of a special form.
M. V. Sorokina, O. P. Surina
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