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2000 | OriginalPaper | Buchkapitel

The Cartan—Hadamard Theorem and Rauch’s First Theorem

verfasst von : D. Bao, S.-S. Chern, Z. Shen

Erschienen in: An Introduction to Riemann-Finsler Geometry

Verlag: Springer New York

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In §5.5, we estimated the growth of certain Jacobi fields using the first few terms of a power series. That was valid only for a short time interval. In the present section, we use a more delicate approach—known as a comparison argument. The resulting estimate holds for long time intervals.

Metadaten
Titel
The Cartan—Hadamard Theorem and Rauch’s First Theorem
verfasst von
D. Bao
S.-S. Chern
Z. Shen
Copyright-Jahr
2000
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-1268-3_9

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