Theory of Finsler spaces with \((\gamma,\beta)\)-metrics. (English) Zbl 1289.53058
Summary: In the present paper, we introduce the concept of \((\gamma,\beta)\)-metric and a number of propositions and theorems have worked for a \((\gamma,\beta)\)-metric, where \(\gamma^3=a_{ijk} (x)y^i y^j y^k\) is a cubic metric and \(\beta=b_i(x)y^i\) is a one form metric.
MSC:
| 53B40 | Local differential geometry of Finsler spaces and generalizations (areal metrics) |
