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Seminar of Laboratory of Theory of Functions "Modern Problems of Complex Analysis"
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On Frobenius theorem for distributions of low regularity N. V. Shcherbina University of Wuppertal |
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Abstract: The existence and uniqueness of integral curves for distributions of lines in A similar problem of the existence and uniqueness of integral surfaces for distributions of dimension In our talk we present a "Peano version" of the Frobenius result, more precisely, we give a geometric necessary and sufficient condition for the existence of integral surfaces for distributions of hyperplanes which are just continuous. The corresponding problem for distributions of higher codimension is still completely open. Website: https://us02web.zoom.us/j/8022228888?pwd=b3M4cFJxUHFnZnpuU3kyWW8vNzg0QT09 |