## On the L2 Cohomology of complete Kahler convez manifolds

Author
Joshi, Janhavi

Year
2010

Advisor
McNeal, Jeffery

Abstract
We extend the McNeal’s Lcohomology vanishing theorem with estimates from strictly Kähler convex and complete manifolds to weakly Kähler convex and complete manifolds. We will also prove ﬁnite dimensionality of the $L^2$ harmonic spaces on complete Kähler manifolds where the Kähler convexity condition is satisﬁed only outside a compact set.

Thesis
janhavi_thesis.pdf