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On the L² Cohomology of Complete Kähler Convex Manifolds
Joshi, Janhavi

2010, Doctor of Philosophy, Ohio State University, Mathematics.
We extend the McNeal’s L² cohomology 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 L² harmonic spaces on complete Kähler manifolds where the Kähler convexity condition is satisfied only outside a compact set.
J. D. McNeal, PhD (Advisor)
F. Zheng, PhD (Committee Member)
K. Koenig, PhD (Committee Member)
84 p.

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Joshi, J. (2010). On the L² Cohomology of Complete Kähler Convex Manifolds. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Joshi, Janhavi. "On the L² Cohomology of Complete Kähler Convex Manifolds." Electronic Thesis or Dissertation. Ohio State University, 2010. OhioLINK Electronic Theses and Dissertations Center. 26 Sep 2017.

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Joshi, Janhavi "On the L² Cohomology of Complete Kähler Convex Manifolds." Electronic Thesis or Dissertation. Ohio State University, 2010. https://etd.ohiolink.edu/

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