Differential geometry : the interface between pure and applied mathematics : proceedings of a conference held April 2325, 1986 with support from the National Science Foundation

Contributor(s): Luksic Mladen | Martin Clyde | Shadwick W FMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 68Publication details: Providence, RI : American Mathematical Society, c1987Description: 1 online resource (ix, 273 p. : ill.)ISBN: 9780821876572 (online)Subject(s): Geometry, DifferentialOnline resources: Click here to access online
Contents:
Geometric aspects of Hessenberg matrices ; Differential geometric aspects of continuum mechanics in higher dimensions ; Laxtype flows on Grassmann manifolds ; Some global aspects of the feedback linearization problem ; On notions of equivalence of variational problems with one independent variable ; A singular problem in elasticity theory ; Controllability of linear systems, differential geometry of curves in Grassmannians, and Riccati equations ; Explicit solutions for an estimation problem in manifolds associated with Lie groups ; Overdetermined equivalence problems with an application to feedback equivalence ; The symbolic computation of higherorder derivations: symmetries of expressions and actions of group algebras ; Cartan's method of equivalence and the classification of secondorder ordinary differential equations ; A necessary condition for local controllability ; Normal forms for linear and nonlinear systems ; Adaptive stabilization of multivariable linear systems ; Approximation, interpolation and sampling ; Stability analysis of a rigid body with a flexible attachment using the energyCasimir method Gregory S Ammar ; David E Betounes ; Anthony M Bloch ; W M Boothby and W P Dayawansa ; Robert L Bryant ; Dennis M DeTurck and Georgi Kamberov ; Lance D Drager Robert L Foote and Clyde F Martin ; T E Duncan ; R B Gardner and W F Shadwick ; Robert Grossman and Richard G Larson ; N Kamran and W F Shadwick ; Matthias Kawski ; Arthur J Krener ; Bengt Martensson ; Clyde Martin and Jennifer Smith ; Thomas A Posbergh P S Krishnaprasad and Jerrold E Marsden
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The Conference on Differential Geometry: The Interface between Pure and Applied Mathematics was held at San Antonio, Texas, April 2325, 1986p. [vi]

Includes bibliographies.

Geometric aspects of Hessenberg matrices ; Differential geometric aspects of continuum mechanics in higher dimensions ; Laxtype flows on Grassmann manifolds ; Some global aspects of the feedback linearization problem ; On notions of equivalence of variational problems with one independent variable ; A singular problem in elasticity theory ; Controllability of linear systems, differential geometry of curves in Grassmannians, and Riccati equations ; Explicit solutions for an estimation problem in manifolds associated with Lie groups ; Overdetermined equivalence problems with an application to feedback equivalence ; The symbolic computation of higherorder derivations: symmetries of expressions and actions of group algebras ; Cartan's method of equivalence and the classification of secondorder ordinary differential equations ; A necessary condition for local controllability ; Normal forms for linear and nonlinear systems ; Adaptive stabilization of multivariable linear systems ; Approximation, interpolation and sampling ; Stability analysis of a rigid body with a flexible attachment using the energyCasimir method Gregory S Ammar ; David E Betounes ; Anthony M Bloch ; W M Boothby and W P Dayawansa ; Robert L Bryant ; Dennis M DeTurck and Georgi Kamberov ; Lance D Drager Robert L Foote and Clyde F Martin ; T E Duncan ; R B Gardner and W F Shadwick ; Robert Grossman and Richard G Larson ; N Kamran and W F Shadwick ; Matthias Kawski ; Arthur J Krener ; Bengt Martensson ; Clyde Martin and Jennifer Smith ; Thomas A Posbergh P S Krishnaprasad and Jerrold E Marsden