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An Introduction to Riemann-Finsler Geometry
One Finsler Manifolds and Their Curvature.- 1 Finsler Manifolds and the Fundamentals of Minkowski Norms.- 1.0 Physical Motivations.- 1.1 Finsler Structures: Definitions and Conventions.- 1.2 TwoExpand
Real hypersurfaces in complex manifolds
Whether one studies the geometry or analysis in the complex number space C a + l , or more generally, in a complex manifold, one will have to deal with domains. Their boundaries are realExpand
Differential Geometry: Cartan's Generalization of Klein's Erlangen Program
In the Ashes of the Ether: Differential Topology.- Looking for the Forest in the Leaves: Folations.- The Fundamental Theorem of Calculus.- Shapes Fantastic: Klein Geometries.- Shapes HighExpand
Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
Let \(\text M\)be an n-dimensional manifold which is minimally immersed in a unit sphere \(S^{n+p}\)of dimension \(n+p.\)
Riemann-Finsler geometry
# Finsler Metrics # Structure Equations # Geodesics # Parallel Translations # S-Curvature # Riemann Curvature # Finsler Metrics of Scalar Flag Curvature # Projectively Flat Finsler Metrics
Exterior Differential Systems
Basic theorems Cartan-Khler theory linear differential systems the characteristic variety prolongation theory applications of commutative algebra and algebraic geometry to the study of exteriorExpand