Contents
Foreword ...............................................................
vii
Paul Finsler and friends ...............................................
ix
Section 1 Finsler Geometry over the Reals
0. Preface ................................................................ 3
1. D. Bao, S.S. Chern and Z. Shen:
On the Gauss-Bonnet integrand for 4-dimensional Landsberg spaces ... 15
2. R. Bryant:
Finsler structures on the 2-sphere satisfying K
=
1 .................... 27
3. G.D. Chakerian:
Integral geometry in Minkowski spaces ................................ 43
4. S.S. Chern:
Riemannian geometry as a special case of Finsler geometry ............ 51
5. F.J. Flaherty:
Dirac operators for Finsler spaces ..................................... 59
6. D. Bao and B. Lackey:
Special eigenforms on the sphere bundle of a Finsler manifold .......... 67
7. M. Matsumoto:
Remarks on Berwald and Landsberg spaces ............................ 79
8. Z. Shen:
Finsler manifolds of constant positive curvature ....................... 83
Section 2 Complex Finsler Geometry
0. Preface ............................................................... 97
1. M. Abate and G. Patrizio:
Finsler metrics of constant curvature
and the characterization of tube domains ............................. 101
2. T. Aikou:
Some remarks on locally conformal complex Berwald spaces .......... 109
3. J. Bland and M. Kalka:
Variations of holomorphic curvature for Kahler Finsler metrics ....... 121
4. J. Faran:
The equivalence problem for complex Finsler Hamiltonians ........... 133
5. S. Kobayashi:
Complex Finsler vector bundles ...................................... 145
v
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