Immersions of Riemannian manifolds with a given normal bundle structure. I
Oldřich Kowalski (1969)
Czechoslovak Mathematical Journal
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Oldřich Kowalski (1969)
Czechoslovak Mathematical Journal
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Costinescu, Cristian N. (2001)
Balkan Journal of Geometry and its Applications (BJGA)
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Michael Eastwood, Katharina Neusser (2016)
Archivum Mathematicum
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We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.
Paweł G. Walczak (1993)
Annales Polonici Mathematici
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R. K. Garai (1972)
Matematički Vesnik
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Kozlov, S.E. (2005)
Journal of Mathematical Sciences (New York)
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Katsumi Nomizu, Kentaro Yano (1967)
Mathematische Zeitschrift
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Paweł G. Walczak (1992)
Annales Polonici Mathematici
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Given some geometric bounds for the base space and the fibres, there is a finite number of conjugacy classes of Riemannian submersions between compact Riemannian manifolds.