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| 008 |
140122 ||| eng |
| 020 |
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|a 9783034892100
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| 100 |
1 |
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|a Bellaiche, Andre
|e [editor]
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| 245 |
0 |
0 |
|a Sub-Riemannian Geometry
|h Elektronische Ressource
|c edited by Andre Bellaiche, Jean-Jaques Risler
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| 250 |
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|a 1st ed. 1996
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| 260 |
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|a Basel
|b Birkhäuser
|c 1996, 1996
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| 300 |
|
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|a VIII, 398 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Geometry, Differential
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| 653 |
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|a Manifolds (Mathematics)
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| 653 |
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|a Differential Geometry
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| 653 |
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|a Global analysis (Mathematics)
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| 653 |
|
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|a Global Analysis and Analysis on Manifolds
|
| 700 |
1 |
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|a Risler, Jean-Jaques
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
0 |
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|a Progress in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/978-3-0348-9210-0
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-0348-9210-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 516.36
|