A review on metric symmetries used in geometry and physics
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Publication:415757
DOI10.5402/2012/983403zbMath1243.53003OpenAlexW1988612745WikidataQ58905644 ScholiaQ58905644MaRDI QIDQ415757
Publication date: 9 May 2012
Published in: ISRN Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5402/2012/983403
Applications of global differential geometry to the sciences (53C80) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exact solutions to problems in general relativity and gravitational theory (83C15) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
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Cites Work
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- Einstein spaces admitting a one-parameter group of conformal transformations
- Affine conformal vector fields in semi-Riemannian manifolds
- Second order parallel tensor in real and complex space forms
- Conformal Killing vector fields on spacetime solutions of Einstein's equations and initial data
- On totally umbilic submanifolds of semi-Riemannian manifolds
- Homothetic and conformal symmetries of solutions to Einstein's equations
- Contact manifolds in Riemannian geometry
- Two remarks on contact metric structures
- On extremal semi-Riemannian submanifolds
- Conformal vector fields on pseudo-Riemannian spaces
- Maximum principles for null hypersurfaces and null splitting theorems
- The introduction of Bochner's technique on Lorentzian manifolds.
- Divergence theorems in semi-Riemannian geometry
- The action of conformal transformations on a Riemannian manifold
- Essential conformal fields in pseudo-Riemannian geometry
- Compact conformally stationary Lorentzian manifolds with no causal conjugate points
- Symmetries, horizons, and black hole entropy
- The conjectures on conformal transformations of Riemannian manifolds
- Cosmological black holes: a black hole in the Einstein-de Sitter universe
- The group of isometries of a Riemannian manifold
- Curvature and Betti numbers
- On harmonic and Killing vector fields
- Conformal symmetries of Einstein’s field equations and initial data
- A Berger-Green type inequality for compact Lorentzian manifolds
- Consistency of the Canonical Reduction of General Relativity
- On angles of separation in Stokes flows
- Conservation of Isotopic Spin and Isotopic Gauge Invariance
- Turbulent boundary layer control utilizing the Lorentz force
- Conformally stationary Lorentzian tori with no conjugate points are flat
- Conformal Killing vectors in Robertson-Walker spacetimes
- Kinematics and dynamics of conformal collineations in relativity
- Affine collineations in space-time
- Constructing maximal geodesics in strongly causal space-times
- Sectional curvature, symmetries, and conformally flat plane waves
- Conformal invariance of black hole temperature
- Spacelike hypersurfaces of constant mean curvature in certain spacetimes
- Lorentzian manifolds with no null conjugate points
- Completeness of Compact Lorentz Manifolds Admitting a Timelike Conformal Killing Vector Field
- Vector fields in Riemannian and Hermitian manifolds with boundary
- Killing Horizons and Orthogonally Transitive Groups in Space-Time
- Integral inequalities in compact orientable manifolds, Riemannian or Kählerian
- RIEMANNIAN MANIFOLDS ADMITTING A CONFORMAL TRANSFORMATION GROUP
- Domain of Dependence
- The Large Scale Structure of Space-Time
- Closed Surfaces Without Conjugate Points
- ON SYMMETRIC RECURRENT TENSORS OF THE SECOND ORDER
- Conformal Killing horizons
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