๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Hamiltonian minimality and Hamiltonian stability of Gauss maps

โœ Scribed by Bennett Palmer

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
518 KB
Volume
7
Category
Article
ISSN
0926-2245

No coin nor oath required. For personal study only.

โœฆ Synopsis

The Gauss map of any oriented hypersurface of S" defines a Lagrangian submanifold of the Grassmannian Gz(Enf2). We study the first and second variations of volume for the Gauss map with respect to Hamiltonian variations.

๐Ÿ“œ SIMILAR VOLUMES

Gauss map of minimal surfaces
Gauss map of minimal surfaces
โœ A. Ya. Vikaruk ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› SP MAIK Nauka/Interperiodica ๐ŸŒ English โš– 253 KB
IBA mapping of microscopic hamiltonians
IBA mapping of microscopic hamiltonians
โœ Amand Faessler; I. Morrison ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 787 KB
Stabilization of Hamiltonian systems
Stabilization of Hamiltonian systems
โœ A.J. van der Schaft ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 966 KB
Formal stability of Hamiltonian systems
Formal stability of Hamiltonian systems
โœ James Glimm ๐Ÿ“‚ Article ๐Ÿ“… 1964 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 796 KB

This is motivated by the formula (P 0 Z)-1 = P-'(l + P-'(P 0 z -P)-1 = P-' c [-P-l(P 0 2 -P)].. Proof: We first show that vq = 6 + [v,,]~~+~ + . -โ‚ฌ9;. When p = 0 this is true with respect to the term ("q"pp of v. Let p # 0; then The first term has d, = d,(tmqnpP) -1 and d, = d,(E"qnpP). Thus d ,5 j