Solutions surfaces of Monge-Ampère equations

DOI10.1016/S0926-2245(01)00033-XzbMath0991.58009WikidataQ115338324 ScholiaQ115338324MaRDI QIDQ5936468

Go-o Ishikawa, Tohru Morimoto

Publication date: 24 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Monge-Ampère equationcontact geometryLegendre submanifoldsolution surfaces

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Surfaces in Euclidean and related spaces (53A05) Projective differential geometry (53A20) Critical points of functions and mappings on manifolds (58K05)

Related Items (4)

SINGULARITIES OF IMPROPER AFFINE SPHERES AND SURFACES OF CONSTANT GAUSSIAN CURVATURE ⋮ Microlocal study of topological Radon transforms and real projective duality ⋮ On a generalization of Monge-Ampère equations and Monge-Ampère systems ⋮ Generic bifurcations of framed curves in a space form and their envelopes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On degenerate secant and tangential varieties and local differential geometry
• On the number of triple points of the tangent developable
• Elementary proof of Bernstein's theorem on minimal surfaces
• Lagrangian imbeddings of surfaces and unfolded Whitney umbrella
• Homotopy invariants for solutions to symplectic Monge Ampère equations
• Geometric structures on filtered manifolds
• On second fundamental forms of projective varieties
• Formation of singularities for Monge-Ampère equations
• Developable hypersurfaces and homogeneous spaces in a real projective space
• Efimov's theorem about complete immersed surfaces of negative curvature
• Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• SINGULARITIES OF THE TANGENT DEVELOPABLE SURFACE OF A SPACE CURVE
• Algebraic geometry and local differential geometry
• The form of the tangent-developable at points of zero torsion on space curves
• On the tangent developable of a space curve
• A classification of Monge-Ampère equations
• Determinacy of the Envelope of the Osculating Hyperplanes to a Curve
• On the contact linearization of Monge-Ampere equations
• COMPLETE DEVELOPABLE SUBMANIFOLDS IN REAL AND COMPLEX EUCLIDEAN SPACES
• DEVELOPABLE OF A CURVE AND DETERMINACY RELATIVE TO OSCULATION-TYPE

This page was built for publication: Solutions surfaces of Monge-Ampère equations