arXiv Open Access 2015

Estimates for eigensections of Riemannian vector bundles

Saskia Roos

Lihat Sumber

Abstrak

We derive a bound on the $L^{\infty}$-norm of the covariant derivative of Laplace eigensections on general Riemannian vector bundles depending on the diameter, the dimension, the Ricci curvature of the underlying manifold, and the curvature of the Riemannian vector bundle. Our result implies that eigensections with small eigenvalues are almost parallel.

Topik & Kata Kunci

math.SP math.DG

Penulis (1)

Saskia Roos

Format Sitasi

APA MLA BibTeX

Roos, S. (2015). Estimates for eigensections of Riemannian vector bundles. https://arxiv.org/abs/1511.08006

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓