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19992005
most citedThe first eigenvalue of the Laplacian, isoperimetric constants, and the Max Flow Min Cut Theorem

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math.DG2005★ 2 cited

The first eigenvalue of the Laplacian, isoperimetric constants, and the Max Flow Min Cut Theorem

Daniel Grieser

We show how 'test' vector fields may be used to give lower bounds for the Cheeger constant of a Euclidean domain (or Riemannian manifold with boundary), and hence for the lowest ei…

math.DG1999

On the L^2-Stokes theorem and Hodge theory for singular algebraic varieties

D. Grieser, M. Lesch

For a projective algebraic variety with isolated singularities, endowed with a metric induced from an embedding, we consider the analysis of the natural partial differential op…