Sub-Riemannian Geometry

Language: English

Published by Birkhäuser, Birkhäuser Sep 1996, 1996

3764354763 / 9783764354763

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This item is printed on demand - Print on Demand Titel. Neuware -The tangent space in sub-Riemannian geometry.- 1. Sub-Riemannian manifolds.- 2. Accessibility.- 3. Two examples.- 4. Privileged coordinates.- 5. The tangent nilpotent Lie algebra and the algebraic structure of the tangent space.- 6. Gromov's notion of tangent space.- 7. Distance estimates and the metric tangent space.- 8. Why is the tangent space a group .- References.- Carnot-Carathéodory spaces seen from within.- 0. Basic definitions, examples and problems.- 1. Horizontal curves and small C-C balls.- 2. Hypersurfaces in C-C spaces.- 3. Carnot-Carathéodory geometry of contact manifolds.- 4. Pfaffian geometry in the internal light.- 5. Anisotropic connections.- References.- Survey of singular geodesics.- 1. Introduction.- 2. The example and its properties.- 3. Some open questions.- 4. Note in proof.- References.- A cornucopia of four-dimensional abnormal sub-Riemannian minimizers.- 1. Introduction.- 2. Sub-Riemannian manifolds and abnormal extremals.- 3. Abnormal extremals in dimension 4.- 4. Optimality.- 5. An optimality lemma.- 6. End of the proof.- 7. Strict abnormality.- 8. Conclusion.- References.- Stabilization of controllable systems.- 0. Introduction.- 1. Local controllability.- 2. Sufficient conditions for local stabilizability of locally controllable systems by means of stationary feedback laws.- 3. Necessary conditions for local stabilizability by means of stationary feedback laws.- 4. Stabilization by means of time-varying feedback laws.- 5. Return method and controllability.- References.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 412 pp. Englisch.…

Seller Inventory # 9783764354763

Title
Sub-Riemannian Geometry
Author
Andre Bellaiche
Publisher
Birkhäuser, Birkhäuser Sep 1996
Publication year
1996
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3764354763
ISBN 13
9783764354763
Item weight
781 grams
Dimensions
241x160x28 mm

buchversandmimpf2000

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