Holonomy group and generalized Maslov classes of submanifolds of spaces with an affine connection

DOI10.1007/BF01137552zbMath0737.53036MaRDI QIDQ1814467

Valerij V. Trofimov

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

symplectic manifoldsminimal surfacesaffine connectionMaslov classesLagrange submanifolds

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Linear and affine connections (53B05)

Related Items (2)

Notes on a category-theoretic definition of Maslov classes of a Lagrangian manifold ⋮ 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
• On Fibering of Cobordism Classes
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