<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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...

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

Published Online: Apr 09, 2020

Page range: 165 - 179

Received: Mar 22, 2019

Accepted: Jul 26, 2019

DOI: https://doi.org/10.2478/auom-2020-0012

Keywords
Double of a manifold, Laplacian, Topological invariants, Regularized metric with control of curvature

© 2020 Luca Sabatini, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

Published Online: Apr 09, 2020

Page range: 165 - 179

Received: Mar 22, 2019

Accepted: Jul 26, 2019

DOI: https://doi.org/10.2478/auom-2020-0012

KeywordsDouble of a manifold, Laplacian, Topological invariants, Regularized metric with control of curvature

© 2020 Luca Sabatini, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Double of a manifold, Laplacian, Topological invariants, Regularized metric with control of curvature