On the existence of a minimum of the integral ∫^{𝑥₁}_{𝑥₀}𝐹(𝑥,𝑦,𝑦’)𝑑𝑥 when 𝑥₀ and 𝑥₁ are conjugate points, and the geodesics on an ellipsoid of revolution: a revision of a theorem of Kneser’s

Osgood, W. F.

doi:10.1090/S0002-9947-1901-1500563-0

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

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On the existence of a minimum of the integral $\int ^ {x_ 1}_ {x_ 0}F(x,y,y’)dx$ when $x_ 0$ and $x_ 1$ are conjugate points, and the geodesics on an ellipsoid of revolution: a revision of a theorem of Kneser’s
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by W. F. Osgood

Trans. Amer. Math. Soc. 2 (1901), 166-182

DOI: https://doi.org/10.1090/S0002-9947-1901-1500563-0

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