Zobrazeno 1 - 10
of 2 864
pro vyhledávání: '"hodge operator"'
Autor:
Wu, Tong1,2 (AUTHOR) wut977@nenu.edu.cn, Wang, Yong3 (AUTHOR) wangy581@nenu.edu.cn
Publikováno v:
Mathematics (2227-7390). Nov2024, Vol. 12 Issue 22, p3530. 23p.
Motivated by the trilinear functional of differential one-forms, spectral triple and spectral torsion for the Hodge-Dirac operator, we introduce a multilinear functional of differential one-forms for a finitely summable regular spectral triple with a
Externí odkaz:
http://arxiv.org/abs/2410.08506
Publikováno v:
Mathematics, Vol 12, Iss 22, p 3530 (2024)
Under the announcement by Alain Connes that the Wodzicki residue of the inverse square of the Dirac operator is proportional to the Einstein–Hilbert action of general relativity, we derive the Lichnerowicz-type formula for the Witten deformation of
Externí odkaz:
https://doaj.org/article/280fee499619404fbd4dcc542e653d9f
In this paper, we give Lichnerowicz type formulas for the perturbation of the de Rham Hodge operator. We prove the Kastler-Kalau-Walze type theorems for the perturbation of the de Rham Hodge operator on 4-dimensional and 6-dimensional compact manifol
Externí odkaz:
http://arxiv.org/abs/2201.10793
This article introduces a new and general construction of discrete Hodge operator in the context of Discrete Exterior Calculus (DEC). This discrete Hodge operator enables to circumvent the well-centeredness limitation on the mesh with the popular dia
Externí odkaz:
http://arxiv.org/abs/2006.16930
Autor:
Reum, Thomas, Toepfer, Hannes
Publikováno v:
COMPEL -The international journal for computation and mathematics in electrical and electronic engineering, 2022, Vol. 41, Issue 3, pp. 996-1010.
Akademický článek
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We present a new construction for the Hodge operator for differential manifolds based on a Fourier (Berezin)-integral representation. We find a simple formula for the Hodge dual of the wedge product of differential forms, using the (Berezin)-convolut
Externí odkaz:
http://arxiv.org/abs/1511.05105
Akademický článek
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Publikováno v:
Journal of Nonlinear Mathematical Physics. 29:678-730
As applications of the noncommutative residue, we prove the Kastler–Kalau–Walze type theorems for the perturbation of the de Rham Hodge operator on 4-dimensional and 6-dimensional compact manifolds. To get these theorems, we give the Lichnerowicz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dab3b00f9e2598c20df95b15fd14d990
https://doi.org/10.1007/s44198-022-00056-7
https://doi.org/10.1007/s44198-022-00056-7