Variations of Hodge Structure, Legendre Submanifolds, and Accessibility

DOI10.2307/2001033zbMath0667.14004OpenAlexW4238631124MaRDI QIDQ3819159

James A. Carlson, Domingo Toledo

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001033

zbMATH Keywords

accessibilitycontact geometryvariations of Hodge structuresLegendre manifoldsGriffiths horizontal systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items

Harmonic mappings of Kähler manifolds to locally symmetric spaces, Variations of Hodge structure of maximal dimension, Schubert varieties as variations of Hodge structure

Cites Work

• Hypersurface variations are maximal. I
• Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
• On the periods of certain rational integrals. I, II
• Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
• Variation of mixed Hodge structures arising from family of logarithmic deformations
• Bounds on the Dimension of Variations of Hodge Structure
• Orbits of Families of Vector Fields and Integrability of Distributions
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