| 摘要: |
| 主要确立了广义Busemann Petty问题的稳定性;结果涉及了维数限制上的广义Busemann Petty问题的稳定性以及与广义截面体类结构相关联的Busemann Petty问题的稳定性;细化并蕴含了Koldobsky和马丹所给出的广义Busemann Petty问题的稳定性结果,且为进一步深化相关的研究提供了启示. |
| 关键词: 稳定性 广义Busemann Petty问题 对偶混合体积 i维拉登变换 |
| DOI: |
| 分类号: |
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| The Stability of a class of Generalized Busemann-Petty Problem |
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FENG Wei
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| Abstract: |
| This paper mainly discusses the stability of generalized Busemann-Petty problem, its results involve in the stability of generalized Busemann-Petty problem on dimension-restriction and the stability of Busemann-Petty problem related to generalized-intersection-like structure. The results in this paper more detailedly segments and contains the stability results of generalized Busemann-Petty problem given by Koldobsky and Ma Dan, providing the enlightenment for deepening the related researches. |
| Key words: generalized Busemann-Petty problem dual mixed volume i-dimensional radon transform |