Published April 30, 2015
| Version v1
Journal article
The Hodge-de Rham Laplacian and Tachibana operator on a compact Riemannian manifold with curvature operator of definite sign
Creators
- 1. Financial University under the Government of the Russian Federation, Moscow (Russian Federation)
- 2. Palacky University Olomouc, Olomouc (Czech Republic)
Description
We give a comparative analysis of the spectral properties of the Hodge-de Rham and Tachibana operators on compact Riemannian manifolds whose curvature operator is bounded and has a definite sign. We find bounds for their spectra and estimate their multiplicities
Availability note (English)
Available from http://dx.doi.org/10.1070/IM2015v079n02ABEH002746Additional details
Identifiers
Publishing Information
- Journal Title
- Izvestiya. Mathematics
- Journal Volume
- 79
- Journal Issue
- 2
- Journal Page Range
- p. 375-387
- ISSN
- 1064-5632
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 47118182
- Subject category
- S73: NUCLEAR PHYSICS AND RADIATION PHYSICS; S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- LAPLACIAN; MATHEMATICAL MANIFOLDS; MULTIPLICITY; RIEMANN FUNCTION; SPECTRA
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL OPERATORS