{"product_id":"some-problems-regarding-the-spectra-of-hodge-de-rham-operators-von-albici-mihaela","title":"SOME PROBLEMS REGARDING THE SPECTRA OF HODGE-DE RHAM OPERATORS","description":"\u003cp\u003eSpectral geometry deals with the survey of these natural, differential operators'' spectrums and among other things it tries to emphasize geometrical and topological properties of a manifold that can be recuperated from the spectrums. The present work is going to approach several issues referring to the spectrums of Hodge-de Rham operators on closed Riemannian manifolds. The author of this paper is going to discuss the continuous dependence on the Riemannian metrics on a smooth and closed differential manifold of the eigenvalues of the Hodge-de Rham operators and its restrictions regarding the exact, differential form spaces and consequences of such feature. Moreover, by using J. Wenzelburger''s idea [80], [81], we are going to prove that the eigenvalues of the Hodge-de Rham operators even smoothly depend on the Riemannian metrics on a smooth, closed, differential manifold if the Fréchet smooth manifold canonical structure is taken into consideration in the space of all Riemannian metrics with such a manifold.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838348162\"\u003e\u003ch3\u003eThe smooth and continuous dependence on the Riemannian metric of the eigenvalues of the Hodge-de Rham operators and its consequences\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838348162","offer_id":39498893557853,"sku":"9783838348162","price":59.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/7e9cf71b-8ce6-4297-a9b6-2dafb15bf47f.jpg?v=1770530160","url":"https:\/\/shop.autorenwelt.de\/products\/some-problems-regarding-the-spectra-of-hodge-de-rham-operators-von-albici-mihaela","provider":"Autorenwelt Shop","version":"1.0","type":"link"}