Pulling back the Gromoll-Meyer construction and models of exotic spheres
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🧮 math.DG
math.ATmath.GT
keywords
exoticspheresconstructiongeometricgromoll-meyermodelssphereactions
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Here we generalize the Gromoll-Meyer construction of an exotic 7-sphere by producing geometric models of exotic 8, 10 and Kervaire spheres as quotients of sphere bundles over spheres by free isometric actions. We give a geometric application at the end.
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