Busemann Functions in Asymptotically Harmonic Finsler Manifolds


  • Hemangi Shah Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India
  • Ebtsam H. Taha Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt,
    Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019, India



Ключові слова:

функцiя Буземана, асимптота, гармонiчний фiнслеровий многовид, асимптотично гармонiчний фiнслеровий многовид


У цiй статтi ми вивчаємо функцiї Буземана як в загальнiй фiнслеровiй поставi, так i для асимптотично гармонiчних фiнслерових многовидiв. Зокрема, ми показуємо, що функцiї Буземана на асимптотично гармонiчних фiнслерових многовидах є гладкими.

Mathematical Subject Classification 2010: 53C22, 53B40, 53C60, 58J60


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Як цитувати

Shah, H.; Taha, E. H. Busemann Functions in Asymptotically Harmonic Finsler Manifolds. Журн. мат. фіз. анал. геом. 2022, 18, 546-561.





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