ORCID Profile
0000-0003-1160-2261
Current Organisation
Deakin University
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Publisher: Elsevier BV
Date: 06-2022
Publisher: Elsevier BV
Date: 05-2023
Publisher: Elsevier BV
Date: 12-2017
Publisher: Universitat Autonoma de Barcelona
Date: 2017
Publisher: Springer Science and Business Media LLC
Date: 16-09-2019
Publisher: Wiley
Date: 28-09-2020
Publisher: Springer Science and Business Media LLC
Date: 27-01-2015
Publisher: Springer Science and Business Media LLC
Date: 09-11-2017
Publisher: Springer Science and Business Media LLC
Date: 27-10-2022
DOI: 10.1007/S12220-022-01048-1
Abstract: The relative index theorem is proved for general first-order elliptic operators that are complete and coercive at infinity over measured manifolds. This extends the original result by Gromov–Lawson for generalised Dirac operators as well as the result of Bär–Ballmann for Dirac-type operators. The theorem is seen through the point of view of boundary value problems, using the graphical decomposition of elliptically regular boundary conditions for general first-order elliptic operators due to Bär–Bandara. Splitting, decomposition and the Phi-relative index theorem are proved on route to the relative index theorem.
Publisher: American Mathematical Society (AMS)
Date: 22-04-2014
DOI: 10.1090/S0002-9939-2014-12284-2
Abstract: We study some canonical differential operators on vector bundles over smooth, complete Riemannian manifolds. Under very general assumptions, we show that smooth, compactly supported sections are dense in the domains of these operators. Furthermore, we show that smooth, compactly supported functions are dense in second order Sobolev spaces on such manifolds under the sole additional assumption that the Ricci curvature is uniformly bounded from below.
Publisher: Informa UK Limited
Date: 31-07-2019
Publisher: Wiley
Date: 15-04-2018
DOI: 10.1002/ECE3.4018
Publisher: Institute of Mathematics, Polish Academy of Sciences
Date: 2013
DOI: 10.4064/SM216-3-1
Publisher: Springer Science and Business Media LLC
Date: 25-06-2015
Publisher: Springer Science and Business Media LLC
Date: 05-03-2016
Location: United Kingdom of Great Britain and Northern Ireland
No related grants have been discovered for Menaka Bandara.