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On the L² Cohomology of Complete Kähler Convex Manifolds

Joshi, Janhavi
http://rave.ohiolink.edu/etdc/view?acc_num=osu1277942962

Abstract Details

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.
Mathematics
K&228; hler convex, L&178; cohomology, cohomology, vanishing theorem

Recommended Citations

Citations

  • Joshi, J. (2010). On the L² Cohomology of Complete Kähler Convex Manifolds [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1277942962

    APA Style (7th edition)

  • Joshi, Janhavi. On the L² Cohomology of Complete Kähler Convex Manifolds. 2010. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1277942962.

    MLA Style (8th edition)

  • Joshi, Janhavi. "On the L² Cohomology of Complete Kähler Convex Manifolds." Doctoral dissertation, Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1277942962

    Chicago Manual of Style (17th edition)

osu1277942962
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