Variations of the Length Integral

Variations of the Length Integral

In this paper, we obtain a necessary and sufficient condition for the second variation of an arbitrarily given smooth variation of a geodesic on a Riemannian manifold to be 0.

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Veröffentlicht in:Honam mathematical journal 2014-03, Vol.36 (1), p.141-146
Hauptverfasser: Pyo, Yong-Soo, Oh, Won Tae, Son, Heui-Sang
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container_title Honam mathematical journal
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creator Pyo, Yong-Soo
Oh, Won Tae
Son, Heui-Sang
description In this paper, we obtain a necessary and sufficient condition for the second variation of an arbitrarily given smooth variation of a geodesic on a Riemannian manifold to be 0.
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source Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
title Variations of the Length Integral
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