Abstract
A class of metrics that can be the base of only a trivial (cylindrical, cylinder-conical), strongly parabolic metric is isolated. The result has a local character. The main tool used in the investigation is the conullity operator.
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Translated from Ukrainskii Geometricheskii Sbornik, No. 34, pp. 112–121, 1991.
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Ushakov, V.G. The base space of a strongly parabolic Riemannian manifold. J Math Sci 69, 910–915 (1994). https://doi.org/10.1007/BF01250823
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DOI: https://doi.org/10.1007/BF01250823