On the Class of Einstein Exponential-Type Finsler Metrics

Автор(и)

  • Akbar Tayebi University of Qom, Department of Mathematics, Faculty of Science, Qom, Iran
  • Ali Nankali University of Qom, Department of Mathematics, Faculty of Science, Qom, Iran
  • Behzad Najafi Amirkabir University, Department of Mathematics and Computer Sciences, Tehran, Iran

DOI:

https://doi.org/10.15407/mag14.01.100

Анотація

У статтi вивчається спецiальний клас фiнслерових метрик, що називаються (α, β)-метриками, якi визначаються формулою F = αφ(s), де α - рiманова метрика, а β - 1-форма. Спочатку ми показуємо, що клас майже регулярних метрик, отриманий Шеном, є ейнштейновим тодi i тiльки тодi, коли вiн зводиться до класу метрик Бервальда. В цьому випадку метрики є Рiччi-пласкими. Потiм ми доводимо, що експоненцiальна метрика є ейнштейновою тодi i тiльки тодi, коли вона Рiччi-пласка.

Mathematical Subject Classification: 53B40, 53C60.

Ключові слова:

ейнштейнова метрика, метрика unicorn, експоненцiальна метрика

Посилання

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Як цитувати

(1)
Tayebi, A.; Nankali, A.; Najafi, B. On the Class of Einstein Exponential-Type Finsler Metrics. Журн. мат. фіз. анал. геом. 2018, 14, 100-114.

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Том 14 № 1 (2018)

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