Connections on manifolds and new characteristic classes

DOI10.1007/BF00580851zbMath0732.58018MaRDI QIDQ808493

Valerij V. Trofimov

Publication date: 1991

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

minimal surfacecobordismcharacteristic classesaffine connectionLagrangian submanifoldMaslov indexsymplectic manifoldholonomy groupspin manifoldspseudo-Riemannian manifoldsLorentz manifoldslinear connectionMaslov classflat compact Riemannian manifoldsindices of Liouville toriindices of the symplectic vector bundlestopological invariants of Hamiltonian systems

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Connections (general theory) (53C05)

Related Items (1)

Geometric and dynamical invariants of integrable Hamiltonian and dissipative systems

Cites Work

• Affine Zusammenhänge auf Mannigfaltigkeiten mit fastsymplektischer Struktur
• Symplectic geometry and secondary characteristic classes
• Volume and energy stability for isometric minimal immersions
• Parallel spinors and parallel forms
• Cobordism and the Euler number
• Liouville integrability of Hamiltonian systems on Lie algebras
• Characteristic Classes. (AM-76)
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