Variations of the Length Integral

Pyo, Yong-Soo; Oh, Won Tae; Son, Heui-Sang

doi:10.5831/hmj.2014.36.1.141

Honam Mathematical Journal

2014

DOI: 10.5831/hmj.2014.36.1.141

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Variations of the Length Integral

Yong-Soo Pyo¹,

Won Tae Oh²,

Heui-Sang Son³

Abstract: Abstract. 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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Variations of the Length Integral

Abstract: Abstract. 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.

Cited by 0 publications

References 3 publications

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