Geodesic
The tangent properties of trajectories of certain two quadratic differentials
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 90-104

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The dependence of functional values in some extremal decomposition problem from location of poles of associated quadratic differentials is established. The proof is based on analysis of geometrical properties of trajectories for certain two quadratic differentials. 
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     author = {E. G. Emel'yanov},
     title = {The tangent properties of trajectories of certain two quadratic differentials},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {90--104},
     publisher = {mathdoc},
     volume = {418},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a5/}
}
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E. G. Emel'yanov. The tangent properties of trajectories of certain two quadratic differentials. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 90-104. http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a5/