1961 Frankel in a novel approach used the curvature of Complex Projective space to show complex submanifolds of complimentary dimension intersect. Based on this approach Scheon and Wolfson reproved the Barth-Lefshetz type theorems using the Morse Theory on the space of paths, in the case the ambient space is a Hermitian Symmetric Space. In this talk we describe how to extend their work to a much larger class of Homogenous spaces.

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Last updated: 15 Apr 2024