An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem (Record no. 425557)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04690nam a22006135i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783764381332 |
| -- | 978-3-7643-8133-2 |
| 024 7# - | |
| -- | 10.1007/978-3-7643-8133-2 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA641-670 |
| 072 #7 - | |
| -- | PBMP |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT012030 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBMP |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Capogna, Luca. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 13 - TITLE STATEMENT | |
| Title | An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Luca Capogna, Scott D. Pauls, Donatella Danielli ; edited by Jeremy T. Tyson. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Basel : |
| Name of producer, publisher, distributor, manufacturer | Birkhäuser Basel, |
| Date of production, publication, distribution, manufacture | 2007. |
| 300 ## - | |
| -- | XVI, 224 p. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 259 |
| 505 0# - | |
| -- | The Isoperimetric Problem in Euclidean Space -- The Heisenberg Group and Sub-Riemannian Geometry -- Applications of Heisenberg Geometry -- Horizontal Geometry of Submanifolds -- Sobolev and BV Spaces -- Geometric Measure Theory and Geometric Function Theory -- The Isoperimetric Inequality in ? -- The Isoperimetric Profile of ? -- Best Constants for Other Geometric Inequalities on the Heisenberg Group. |
| 520 ## - | |
| -- | The past decade has witnessed a dramatic and widespread expansion of interest and activity in sub-Riemannian (Carnot-Caratheodory) geometry, motivated both internally by its role as a basic model in the modern theory of analysis on metric spaces, and externally through the continuous development of applications (both classical and emerging) in areas such as control theory, robotic path planning, neurobiology and digital image reconstruction. The quintessential example of a sub Riemannian structure is the Heisenberg group, which is a nexus for all of the aforementioned applications as well as a point of contact between CR geometry, Gromov hyperbolic geometry of complex hyperbolic space, subelliptic PDE, jet spaces, and quantum mechanics. This book provides an introduction to the basics of sub-Riemannian differential geometry and geometric analysis in the Heisenberg group, focusing primarily on the current state of knowledge regarding Pierre Pansu's celebrated 1982 conjecture regarding the sub-Riemannian isoperimetric profile. It presents a detailed description of Heisenberg submanifold geometry and geometric measure theory, which provides an opportunity to collect for the first time in one location the various known partial results and methods of attack on Pansu's problem. As such it serves simultaneously as an introduction to the area for graduate students and beginning researchers, and as a research monograph focused on the isoperimetric problem suitable for experts in the area. |
| 650 #0 - | |
| -- | Global differential geometry. |
| 650 #0 - | |
| -- | Topological Groups. |
| 650 #0 - | |
| -- | Cell aggregation |
| -- | Mathematics. |
| 650 #0 - | |
| -- | Differential equations, partial. |
| 650 #0 - | |
| -- | Global analysis. |
| 650 #0 - | |
| -- | Systems theory. |
| 650 14 - | |
| -- | Differential Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21022 |
| 650 24 - | |
| -- | Topological Groups, Lie Groups. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11132 |
| 650 24 - | |
| -- | Manifolds and Cell Complexes (incl. Diff.Topology). |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28027 |
| 650 24 - | |
| -- | Partial Differential Equations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12155 |
| 650 24 - | |
| -- | Global Analysis and Analysis on Manifolds. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12082 |
| 650 24 - | |
| -- | Systems Theory, Control. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M13070 |
| 700 1# - | |
| -- | Pauls, Scott D. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - | |
| -- | Danielli, Donatella. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 700 1# - | |
| -- | Tyson, Jeremy T. |
| -- | editor. |
| -- | edt |
| -- | http://id.loc.gov/vocabulary/relators/edt |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764391850 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783764381325 |
| 830 #0 - | |
| -- | Progress in Mathematics, |
| -- | 0743-1643 ; |
| -- | 259 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-7643-8133-2 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
No items available.
