arXiv Open Access 2014

Regularized trace of the Laplace-Beltrami operator perturbed by the function on manifolds with specially perturbed sphere metric

T. Zykova

Lihat Sumber

Abstrak

The paper is devoted to investigation of the spectrum of a perturbed Laplace-Beltrami operator on manifolds with closed geodesics of the same length and where metric is a perturbation of the metric of the unit sphere. As the result, we give the regularized trace formula for the eigenvalues ??of this operator when the metric of manifold is presented in abstract form.

Topik & Kata Kunci

math.SP

Penulis (1)

T. Zykova

Format Sitasi

APA MLA BibTeX

Zykova, T. (2014). Regularized trace of the Laplace-Beltrami operator perturbed by the function on manifolds with specially perturbed sphere metric. https://arxiv.org/abs/1404.4810

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓