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- W3083142446 abstract "We establish some important inequalities under the condition that the weighted Ricci curvature $mathrm{Ric}_{infty}geq K$ for some constant $K >0$ by using improved Bochner inequality and its integrated form. Firstly, we obtain a sharp Poincar'{e}-Lichnerowicz inequality. Further, we give a new proof for logarithmic Sobolev inequality. Finally, we obtain an estimate of the volume of geodesic balls." @default.
- W3083142446 created "2020-09-11" @default.
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- W3083142446 date "2020-09-05" @default.
- W3083142446 modified "2023-10-17" @default.
- W3083142446 title "Some important applications of improved Bochner inequality on Finsler manifolds" @default.
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- W3083142446 doi "https://doi.org/10.48550/arxiv.2009.02632" @default.
- W3083142446 hasPublicationYear "2020" @default.
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