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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 Two
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 real
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 High
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 exterior
Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections
At present a great deal is known about the value distribution of systems of meromorphic functions on an open Riemann surface. One has the beautiful results of Picard, E. Borel, Nevanlinna, Ahlfors,