Differential geometry of real Monge-Ampère foliations

DOI10.1007/BF01162241zbMath0636.53012WikidataQ115393979 ScholiaQ115393979MaRDI QIDQ1098114

Robert L. Foote

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173839

zbMATH Keywords

Cauchy problemMonge-Ampère equationfoliation by planesalgebraic submanifolscharacterization of the Euclidean ball

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Partial differential equations of mathematical physics and other areas of application (35Q99) Affine differential geometry (53A15)

Related Items (4)

The Cauchy problem for the homogeneous Monge-Ampère equation. II: Legendre transform ⋮ The Cauchy problem for the homogeneous Monge-Ampère equation. III: Lifespan ⋮ Tropical dynamics of area-preserving maps ⋮ A Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex cone

Cites Work

• Curvatures of Monge-Ampère foliations and parabolic manifolds
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• Shorter Notes: Regularity of the Distance Function
• Morse Theory. (AM-51)
• Shorter Notes: The Levi Form and Local Complex Foliations
• Foliations and complex monge-ampère equations
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