Autor: |
Guo, Lujun, Xi, Dongmeng, Zhao, Yiming |
Zdroj: |
Mathematische Annalen; Jul2024, Vol. 389 Issue 3, p3123-3162, 40p |
Abstrakt: |
Chord measures and L p chord measures were recently introduced by Lutwak-Xi-Yang-Zhang by establishing a variational formula regarding a family of fundamental integral geometric invariants called chord integrals. Prescribing the L p chord measure is known as the L p chord Minkowski problem, which includes the L p Minkowski problem heavily studied in the past 2 decades as special cases. In the current work, we solve the L p chord Minkowski problem when 0 ≤ p < 1 , without symmetry assumptions. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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