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- W4324313548 abstract "The flag curvature is a natural extension of the sectional curvature in Riemannian geometry. However there are many non-Riemannian quantities which interact the flag curvature. In this paper, we introduce a notion of weighted flag curvature by modifying the flag curvature with the non-Riemannian quantity, T-curvature. We show that a proper open forward complete Finsler manifold with positive weighted flag curvature is necessarily diffeomorphic to the Euclidean space." @default.
- W4324313548 created "2023-03-16" @default.
- W4324313548 creator A5022585660 @default.
- W4324313548 creator A5042568351 @default.
- W4324313548 date "2023-03-11" @default.
- W4324313548 modified "2023-10-16" @default.
- W4324313548 title "Finsler manifolds with Positive Weighted Flag Curvature" @default.
- W4324313548 doi "https://doi.org/10.48550/arxiv.2303.06414" @default.
- W4324313548 hasPublicationYear "2023" @default.
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