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Applicable Analysis

An International Journal

Volume 41, 1991 - Issue 1-4

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Original Articles

On functions whose curves of steepest descent are straight lines

Rolando Magnanini Dipartimento di Matematica, Universita di Firenze, Italy

Pages 171-182 | Received 19 Sep 1990, Published online: 02 May 2007

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https://doi.org/10.1080/00036819108840022

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Courant , R. and Hilbert , D. 1962 . Methods of Mathematical Physics. Interscience , New York : John Wiley & Sons .
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O'Neill , B. 1966 . Elementary Differential Geometry , New York : Academic Press .
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Reilly , R.C. 1973 . On the hessian of a function and the curvatures of its graph . Michigan Math. J , 20 : 373 – 383 .
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Talenti , G. 1983 . On functions whose lines of steepest descent bend proportionally to level lines . Ann. Sc. Norm. Sup. Pisa. Cl. Sci , 4 : 587 – 605 .
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