Mathematics – Probability
Scientific paper
2011-11-29
Front. Math. China 2011, 6(6): 1025-1043
Mathematics
Probability
19 pages
Scientific paper
Ten sharp lower estimates of the first non-trivial eigenvalue of Laplacian on
compact Riemannian manifolds are reviewed and compared. An improved variational
formula, a general common estimate, and a new sharp one are added. The best
lower estimates are now updated. The new estimates provide a global picture of
what one can expect by our approach.
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