Enrico Le Donne

@UCldDWJM-C9kHs3ilft_WO-g - 244 subscribers

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Lesson 44: A metric characterization of Carnot groups

Lesson 44: A metric characterization of Carnot groups Enrico Le Donne

221 views - 4 years ago

Lesson 43: Isometrically homogeneous geodesic manifolds

Lesson 43: Isometrically homogeneous geodesic manifolds Enrico Le Donne

167 views - 4 years ago

Lesson 42: Rank-one symmetric spaces as Heintze groups

Lesson 42: Rank-one symmetric spaces as Heintze groups Enrico Le Donne

171 views - 4 years ago

Lesson 41: Negatively curved homogeneous manifolds

Lesson 41: Negatively curved homogeneous manifolds Enrico Le Donne

98 views - 4 years ago

Lesson 40: Equicontinuity of Carnot-Carathéodory distances

Lesson 40: Equicontinuity of Carnot-Carathéodory distances Enrico Le Donne

94 views - 4 years ago

Lesson 39: Proof of convergence of Carnot-Carathéodory structures.

Lesson 39: Proof of convergence of Carnot-Carathéodory structures. Enrico Le Donne

93 views - 4 years ago

Lesson 38: Limits of CC bundle structures

Lesson 38: Limits of CC bundle structures Enrico Le Donne

71 views - 4 years ago

Lesson 37: A discussion on Mitchell's theorem

Lesson 37: A discussion on Mitchell's theorem Enrico Le Donne

108 views - 4 years ago

Lesson 36: An example: the asymptotic cone of the Riemannian Heisenberg group

Lesson 36: An example: the asymptotic cone of the Riemannian Heisenberg group Enrico Le Donne

208 views - 4 years ago

Lesson 35: Limits of Carnot-Carathéodory distances

Lesson 35: Limits of Carnot-Carathéodory distances Enrico Le Donne

91 views - 4 years ago

Lesson 34: Tangent spaces and asymptotic spaces

Lesson 34: Tangent spaces and asymptotic spaces Enrico Le Donne

98 views - 4 years ago

Lesson 33: Limits of metric spaces

Lesson 33: Limits of metric spaces Enrico Le Donne

196 views - 4 years ago

Lesson 32: a biLipschitz non-embeddability consequence

Lesson 32: a biLipschitz non-embeddability consequence Enrico Le Donne

90 views - 4 years ago

Lesson 31: Proof of Pansu's Rademacher Theorem

Lesson 31: Proof of Pansu's Rademacher Theorem Enrico Le Donne

158 views - 4 years ago

Lesson 30: Pansu's Rademacher Theorem for curves

Lesson 30: Pansu's Rademacher Theorem for curves Enrico Le Donne

127 views - 4 years ago

Lesson 29: Differentiability of Lipschitz maps between Carnot groups

Lesson 29: Differentiability of Lipschitz maps between Carnot groups Enrico Le Donne

116 views - 4 years ago

Lesson 28: Measures on Carnot groups

Lesson 28: Measures on Carnot groups Enrico Le Donne

106 views - 4 years ago

Lesson 27: Examples of Carnot groups and Carnot algebras

Lesson 27: Examples of Carnot groups and Carnot algebras Enrico Le Donne

134 views - 4 years ago

Lesson 26: Dilations on Carnot groups

Lesson 26: Dilations on Carnot groups Enrico Le Donne

133 views - 4 years ago

Lesson 25: Introduction to Carnot groups

Lesson 25: Introduction to Carnot groups Enrico Le Donne

276 views - 4 years ago

Lesson 24: Exponential coordinates on simply connected nilpotent Lie groups

Lesson 24: Exponential coordinates on simply connected nilpotent Lie groups Enrico Le Donne

137 views - 4 years ago

Lesson 23: Nilpotent Lie groups

Lesson 23: Nilpotent Lie groups Enrico Le Donne

252 views - 4 years ago

Lesson 22: Extremal equations of energy minimizers

Lesson 22: Extremal equations of energy minimizers Enrico Le Donne

75 views - 4 years ago

Lesson 21: First-order necessary conditions for energy minimizers

Lesson 21: First-order necessary conditions for energy minimizers Enrico Le Donne

90 views - 4 years ago

Lesson 20: Space of controls, energy minimizers, and End-point map

Lesson 20: Space of controls, energy minimizers, and End-point map Enrico Le Donne

101 views - 4 years ago

Lesson 19: SubFinsler Lie groups

Lesson 19: SubFinsler Lie groups Enrico Le Donne

87 views - 4 years ago

Lesson 18: Some important formulas on Lie group

Lesson 18: Some important formulas on Lie group Enrico Le Donne

123 views - 4 years ago

Lesson 17: Exponential map and general linear group

Lesson 17: Exponential map and general linear group Enrico Le Donne

198 views - 4 years ago

Lesson 16: Review of Lie groups and Lie algebras

Lesson 16: Review of Lie groups and Lie algebras Enrico Le Donne

156 views - 4 years ago

Lesson 15: Equiregular distributions and the Ball-Box Theorem

Lesson 15: Equiregular distributions and the Ball-Box Theorem Enrico Le Donne

165 views - 4 years ago

Lesson 14: Length structures for Carnot-Carathéodory metrics

Lesson 14: Length structures for Carnot-Carathéodory metrics Enrico Le Donne

140 views - 4 years ago

Lesson 13: The topology of Carnot-Carathéodory metrics: Chow-Rashevsky Theorem

Lesson 13: The topology of Carnot-Carathéodory metrics: Chow-Rashevsky Theorem Enrico Le Donne

207 views - 4 years ago

Lesson 12: The definition of Carnot-Carathéodory space

Lesson 12: The definition of Carnot-Carathéodory space Enrico Le Donne

176 views - 4 years ago

Lesson 11: A review of Differential Geometry (continuation)

Lesson 11: A review of Differential Geometry (continuation) Enrico Le Donne

146 views - 4 years ago

Lesson 10: A review of Differential Geometry

Lesson 10: A review of Differential Geometry Enrico Le Donne

230 views - 4 years ago

Lesson 9: A review of Metric Geometry (continuation)

Lesson 9: A review of Metric Geometry (continuation) Enrico Le Donne

131 views - 4 years ago

Lesson 8: A review of Metric Geometry

Lesson 8: A review of Metric Geometry Enrico Le Donne

417 views - 4 years ago

Lesson 7: Metric balls in the subRiemannian Heisenberg group

Lesson 7: Metric balls in the subRiemannian Heisenberg group Enrico Le Donne

266 views - 4 years ago

Lesson 6: Dilations in the Heisenberg group

Lesson 6: Dilations in the Heisenberg group Enrico Le Donne

188 views - 4 years ago

Lesson 5: Geodesics in the subRiemannian Heisenberg group

Lesson 5: Geodesics in the subRiemannian Heisenberg group Enrico Le Donne

312 views - 5 years ago

Lesson 4: The subRiemannian Heisenberg group

Lesson 4: The subRiemannian Heisenberg group Enrico Le Donne

300 views - 5 years ago

Lesson 3: The Heisenberg group (continuation)

Lesson 3: The Heisenberg group (continuation) Enrico Le Donne

350 views - 5 years ago

Lesson 2: The Heisenberg group structure in contact geometry

Lesson 2: The Heisenberg group structure in contact geometry Enrico Le Donne

887 views - 5 years ago

Lesson 1: An isoperimetric problem by Queen Dido, and its contact-geometry formulation

Lesson 1: An isoperimetric problem by Queen Dido, and its contact-geometry formulation Enrico Le Donne

1.4K views - 5 years ago

Introduction to the course "SubRiemannian geometry"

Introduction to the course "SubRiemannian geometry" Enrico Le Donne

1.4K views - 5 years ago

Francesca Tripaldi: Rumin complex on nilpotent Lie groups and applications

Francesca Tripaldi: Rumin complex on nilpotent Lie groups and applications Enrico Le Donne

293 views - 5 years ago

Elefterios Soultanis: Solving the Plateau-Douglas problem in homotopy classes

Elefterios Soultanis: Solving the Plateau-Douglas problem in homotopy classes Enrico Le Donne

166 views - 5 years ago

Gabriel Pallier: Cone-equivalent nilpotent groups with different Dehn function

Gabriel Pallier: Cone-equivalent nilpotent groups with different Dehn function Enrico Le Donne

259 views - 5 years ago

Alberto Saracco: Of ducks and paths, of math and mice -- the mathematics of Disney comics

Alberto Saracco: Of ducks and paths, of math and mice -- the mathematics of Disney comics Enrico Le Donne

441 views - 6 years ago