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ON EXTENSIONS OF MYERS THEOREM
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UNSPECIFIED (1995) ON EXTENSIONS OF MYERS THEOREM. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 27 (Part 4). pp. 392-396. ISSN 0024-6093.
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Abstract
Let M be a compact Riemannian manifold, and let h be a smooth function on M. Let p(h)(x)= inf(\v\=1)(Ric(x)(v, v)- 2Hess (h)(x)(v, v)). Here Ric(x) denotes the Ricci curvature at x and Hess (h) is the Hessian of h. Then M has finite fundamental group if Delta(h)-p(k) < 0. Here Delta(k) =:Delta+2L((del k)) is the Bismut-Witten of Laplacian. This leads to a quick proof of recent results on extension of Myers' theorem to manifolds with mostly positive curvature. There is also a similar result for noncompact manifolds.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | ||||
Publisher: | LONDON MATH SOC | ||||
ISSN: | 0024-6093 | ||||
Official Date: | July 1995 | ||||
Dates: |
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Volume: | 27 | ||||
Number: | Part 4 | ||||
Number of Pages: | 5 | ||||
Page Range: | pp. 392-396 | ||||
Publication Status: | Published |
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