oaioai:CiteSeerX.psu:10.1.1.62.6915

USING GAUSS MAPS TO DETECT INTERSECTIONS

Abstract

A family of compact submanifolds with boundary has a nonempty stable interior intersection in R n provided a certain geometric estimate holds. As a global application we establish a sharp intersection criterion for a family of properly embedded mj-dimensional submanifolds Mj ⊂ R n that is based solely on their Gauss maps Gj: Mj → G(n − mj, n), Gj(p) = [TpMj] ⊥

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oaioai:CiteSeerX.psu:10.1.1.62.6915Last time updated on 10/22/2014

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