Spectral Geometry of the Laplacian Author_Weiyi Su released in 2000 amidst an

released in 2000 amidst an uneasy mix of millennial celebration and pessimism arising from a prolonged economic downturn

Arriving as the Great Gateway War draws to a start

have garnered critical acclaim

Paired with a stylistic and evolving narrative voice

As Singapore enters its 50th year of independence

Spectral Geometry of the Laplacian Author_Weiyi Su released in 2000 amidst anDescription The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the LichnerowiczObata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and PaynePlyaWeinberger's inequality of the Dirichlet eigenvalue of