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Submanifolds and holonomy Sergio Console

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Presentation on theme: "Submanifolds and holonomy Sergio Console"— Presentation transcript:

1 Submanifolds and holonomy Sergio Console
General setup: Reduction of codim Moore’s lemma Normal holonomy TOOLS: METHOD: Focalization Holonomy tube Model spaces (submanifolds with constant principal curvatures or orbits of s-representations)

2 Holonomy and curvature

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6 There are no parallel tensor fields (normal) except those coming from the metric

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13 It has non positive scalar curvature
normal holonomy is non exceptional use (a part of) Simons’ proof of Berger Theorem

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15 Complex projective space
Full flags

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21 For isoparametric submanifolds

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