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Sub-Riemannian Geometry

Sub-Riemannian Geometry
Catalogue Information
Field name Details
Dewey Class 516.36
Title Sub-Riemannian Geometry ([EBook] /) / edited by André Bellaïche, Jean-Jacques Risler.
Added Personal Name Bellaïche, André editor.
Risler, Jean-Jacques editor.
Other name(s) SpringerLink (Online service)
Publication Basel : : Birkhäuser Basel, , 1996.
Physical Details VIII, 398 p. : online resource.
Series Progress in mathematics 0743-1643 ; ; 144
ISBN 9783034892100
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-0348-9210-0
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