Geodesic completeness of the left-invariant metrics on ${{\mathbb{R}} H^n} $
DOI:
https://doi.org/10.37863/umzh.v72i5.645Анотація
Наведено повну класифікацію лівоінваріантних метрик довільної сигнатури на групі Лі, що відповідає дійсному гіперболічному просторові. Показано, що всі такі метрики мають сталу кривизну перерізу і геодезично повні лише в рімановому випадку.
Посилання
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