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Presentation on Berger's Holonomy Classification

Title: Berger's Classification of Riemannian Holonomies

Abstract: I will begin with recaping facts about Riemannian Holonomy, and submanifold geometry. Then I'll discuss reduicble and symmetric spaces to state the Normal Holonomy theorem. Finally I prove the Berger Holonomy Theorem and provide the Berger's list of Holonomies.

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Final presentation for the MA 333: Riemannian Geometry course about the Berger Classification of Holonomies in Fall 2025 at IISc.

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