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arxiv: 1305.3370 · v5 · pith:5PATJYSTnew · submitted 2013-05-15 · 🧮 math.DG

L2-estimates on p-convex Riemannian manifolds

classification 🧮 math.DG
keywords l2-estimatesmanifoldsp-convexriemannianapplicationscohomologydifferentialestablish
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In this paper, we establish various L2-estimates for the exterior differential operator on p-convex Riemannian manifolds in the sense of Harvey and Lawson. As geometric applications, we prove vanishing and finiteness results for the de Rham cohomology groups.

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