FINSLER METRICS COMPATIBLE WITH f(5,1)-STRUCTURE

We introduce the notion of the Finsler metrics compatible with f(5,1)-structure and investigate the properties of Finsler space with such metrics.

J. Math. Kyoto Univ. v.29 Complex Finsler manifolds M. Fukui
Tensor, N.S. v.36 On a structure defined by a tensor field of type(1,1) satisfying $f^5 + f += 0$ F. Gouli-Andreou
Tensor, N.S. v.37 Almost Hermitian Finsler manifolds Y. Ichijyo
Proceedings of the 30th symposium on Finsler Geometry (Nagasaki) Finsler metrics compatible with f-structures Y. Ichijyo
Riv. Mat. Univ. Parma v.14 Finsler metrics on almost complex manifolds Y. Ichijyo
Foundations of Finsler geometry and special Finsler spaces M. Matsumoto
Tensor, N.S. v.58 On Finsler metrics compatible with Ø(4,2)-structure H.S. Park;H.Y. Park
Riv. Mat. Univ. Parma v.4 Structture di Finsler di tipo quasi Hermitiano G.B. Rizza
Tensor, N.S. v.14 On a structure difined by a thensor field f of type (1,1) satisfying f³ + f =0 K. Yano
Tensor, N.S. v.23 Structures defined by a tensor field of type (1,1) satisfying Ø ⁴± Ø² = 0 K. Yano;C.S. Houh;B.Y. Chen