Spherically symmetric Finsler metrics with Scalar Flag Curvature
In this paper, we study spherically symmetric Finsler metrics F=|y|f(|x|,\frac{}{|y|}), where x \in Bn(r) \subset Rn, y \in TxBn(r)\{0} and f:[0,r)\times R \rightarrow R. By investigating a PDE equivalent to these metrics being locally projectively flat, we manufacture projectively flat spherically symmetric Finsler metrics in terms of error functions and, using Shen's result, we give its flag curvature.
Anahtar Kelimeler:
Spherically symmetric, locally projectively flat, scalar flag curvature, error function
Spherically symmetric Finsler metrics with Scalar Flag Curvature
In this paper, we study spherically symmetric Finsler metrics F=|y|f(|x|,\frac{}{|y|}), where x \in Bn(r) \subset Rn, y \in TxBn(r)\{0} and f:[0,r)\times R \rightarrow R. By investigating a PDE equivalent to these metrics being locally projectively flat, we manufacture projectively flat spherically symmetric Finsler metrics in terms of error functions and, using Shen's result, we give its flag curvature.
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- P = F
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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Spherically symmetric Finsler metrics with Scalar Flag Curvature