Preface 1 Introduction 1.1 Development of Finsler geometry 1.2 Finsler space 1.3 Metric tensor 1.4 Tangent space and its dual space 1.5 Magnitude of a vector; the notion of orthogonality 1.6 Cartan tensor and the generalized Christoffel symbols 1.7 Finsler connections 1.8 Projective transformation 1.9 Special Finsler spaces 1.10 Finslerian subspace 1.11 Finslerian hypersurface 2 On a four dimensional Finsler space 2.1 Introduction 2.2 Orthonormal frame and connection vectors 2.3 Scalar derivatives 2.4 Main scalars 2.5 Berwald space 2.6 Landsberg space 2.7 T-condition 2.8 v-curvature tensor 2.9 h-curvature tensor 2.10 Space of scalar curvature 3 Hypersurface of a four dimensional Finsler space 3.1 Introduction 3.2 Finslerian hypersurface 3.3 Main scalars of a four dimensional Finsler space and its hypersurface 3.4 C-reducible Finsler space 4 On subspaces and hypersurface of a Finsler space with metric given by an h-vector 4.1 Introduction. 4.2 The Finsler space *Fn = (Mn, *L) 4.3 Subspace *Fm of the Finsler space *Fn 4.4 Hypersurface *Fn-1 of Finsler space *Fn 5 On subspaces and hypersurface of a Finsler space with Randers conformal metric 5.1 Introduction. 5.2 The Finsler space *Fn = (Mn, *L) 5.3 Finsler subspaces given by Randers conformal change 5.4 Finslerian hypersurface given by Randers conformal metric 6 Hypersurfaces of h-conformally related Finsler spaces 6.1 Introduction 6.2 h-Conformal Finsler space 6.3 Hypersurface of an h-conformal Finsler space 7 On a projective mapping and Berwald h-recurrent Finsler connection 7.1 Introduction 7.2 Berwald h-recurrent connection 7.3 Condition for the Berwald connection of a Finsler space to be Berwald h-recurrent connection of another Finsler space 96 7.4 Projectively related spaces 7.5 Space of scalar curvature 7.6 Space of constant curvature
7.7 Space of zero curvature 7.8 A special projective mapping Bibliography 編輯手記
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