{"product_id":"spectral-geometry-laplacian-9789813109087-new","title":"Spectral Geometry of the Laplacian","description":"\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe 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 Lichnerowicz-Obata's theorem on the first eigenvalue, the Cheng's estimates of the \u003cem\u003ek\u003c\/em\u003eth eigenvalues, and Payne-P\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544058167586,"sku":"9789813109087-new","price":123.85,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789813109087.jpg?v=1776396788","url":"https:\/\/www.albakireads.com\/products\/spectral-geometry-laplacian-9789813109087-new","provider":"AlbakiReads","version":"1.0","type":"link"}