On Singular Square Metrics with Vanishing Douglas Curvature

On Singular Square Metrics with Vanishing Douglas Curvature Square metrics $$F=\frac{(\alpha +\beta )^2}{\alpha }$$ F = ( α + β ) 2 α are a special class of Finsler metrics. It is the rate kind of metric category to be of excellent geometrical properties. In this paper, we discuss the so-called singular square metrics $$F=\frac{(b\alpha +\beta )^2}{\alpha }$$ F = ( b α + β ) 2 α . A characterization for such metrics to be of vanishing Douglas curvature is provided. Moreover, many analytical examples are achieved by using a special kinds of metrical deformations called $$\beta $$ β -deformations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

On Singular Square Metrics with Vanishing Douglas Curvature

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Springer International Publishing
Copyright © 2017 by Springer International Publishing AG
Mathematics; Mathematics, general
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