Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II
09 kwi 2020
O artykule
Data publikacji: 09 kwi 2020
Zakres stron: 165 - 179
Otrzymano: 22 mar 2019
Przyjęty: 26 lip 2019
DOI: https://doi.org/10.2478/auom-2020-0012
Słowa kluczowe
© 2020 Luca Sabatini, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on the the lower bound of the boundary injectivity radius but on the bounds of the curvatures of the manifold and its boundary.