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Harmonic transforms of complete Riemannian manifolds
- Source :
- Mathematical Notes. 100:465-471
- Publication Year :
- 2016
- Publisher :
- Pleiades Publishing Ltd, 2016.
-
Abstract
- Vanishing theorems for harmonic and infinitesimal harmonic transformations of complete Riemannian manifolds are proved. The proof uses well-known Liouville theorems on subharmonic functions on noncompact complete Riemannian manifolds.
- Subjects :
- Harmonic coordinates
Pure mathematics
Curvature of Riemannian manifolds
General Mathematics
010102 general mathematics
Mathematical analysis
Riemannian geometry
Fundamental theorem of Riemannian geometry
Isometry (Riemannian geometry)
01 natural sciences
symbols.namesake
Harmonic function
Ricci-flat manifold
0103 physical sciences
symbols
Mathematics::Differential Geometry
010307 mathematical physics
0101 mathematics
Mathematics::Symplectic Geometry
Scalar curvature
Mathematics
Subjects
Details
- ISSN :
- 15738876 and 00014346
- Volume :
- 100
- Database :
- OpenAIRE
- Journal :
- Mathematical Notes
- Accession number :
- edsair.doi...........bb82f56e22683a5ea8abe316f4145b0f
- Full Text :
- https://doi.org/10.1134/s0001434616090133