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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.
Added Personal Name	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
Links to Related Works	Subject References: Differential Geometry . Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Mathematics . Authors: Bellaïche, André . Risler, Jean-Jacques . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 516.36 .

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Sub-Riemannian Geometry

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