Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II
| 09 abr 2020
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Publicado en línea: 09 abr 2020
Páginas: 165 - 179
Recibido: 22 mar 2019
Aceptado: 26 jul 2019
DOI: https://doi.org/10.2478/auom-2020-0012
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© 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.