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RECURRENT GEODESICS IN FLAT LORENTZ 3-MANIFOLDS
LORENTZ 3-MANIFOLDS GEODESICS
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2015/9/29
We introduce the notion of recurrent geodesic rays in
a complete °at Lorentz 3-manifold. We completely classify the
dynamical behavior of geodesics in cyclic quotients, and apply this
classiˉcation...
THE FUNDAMENTAL GROUP OF A COMPACT FLAT LORENTZ SPACE FORM IS VIRTUALLY POLYCYCLIC
lorentz Multi-loop spatial form
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2015/9/29
A flat Lorentz space form is a geodesically complete Lorentzian manifold of
zero curvature. It is well known (see Auslander & Markus [3]) that such a space
M may be represented as a quotient Rw
/Γ,...
FLAT BUNDLES WITH SOLVABLE HOLONOMY
SOLVABLE HOLONOM mathematics
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2015/9/29
Let G be a solvable linear Lie group. We show that for every flat
pnncipal G-bundle { over a CW-complex M, there is a finite-sheeted covering
spacep: M-3 M such that p*C is trivial as a principal ...
ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
SHRINKING RICCI SOLITONS CONFORMALLY FLAT
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2015/8/17
In this paper, we first apply an integral identity on Ricci solitons to prove that
closed locally conformally flat gradient Ricci solitons are of constant sectional curvature.
We then ge...
Was the Late Paleocene-Early Eocene Hot Because Earth Was Flat? An Ocean Lithium Isotope View of Mountain Building,Continental Weathering, Carbon Dioxide,and Earth's Cenozoic Climate
Late Paleocene-Early Eocene Hot Earth Was Flat Ocean Lithium Isotope View Mountain Building Continental Weathering Carbon Dioxide Earth's Cenozoic Climate
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2015/7/17
Hothouse climates in Earth's geologic past, such as the Eocene epoch, are thought to have been caused by the release of large amounts of carbon dioxide and/or methane, which had been stored as carbon ...
Overcoming the slowing down of flat-histogram Monte Carlo simulations: Cluster updates and optimized broad-histogram ensembles
Monte carlo simulation energy d ferromagnetic ising model
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2014/12/20
We study the performance of Monte Carlo simulations that sample a broad histogram in energy by determining the mean first-passage time to span the entire energy space of d-dimensional ferromagnetic Is...
Convergence of scalar-flat metrics on manifolds with boundary under the Yamabe flow
Convergence of scalar-flat metrics manifolds boundary under the Yamabe flow Differential Geometry
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2012/6/21
This paper is concerned with a Yamabe-type flow for compact Riemannian manifolds with boundary. The convergence of this flow is established if the manifold with boundary satisfies either a generic con...
Frobenius 3-folds via singular flat 3-webs
Frobenius 3-folds singular flat 3-webs Differential Geometry
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2012/6/15
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ sa...
Bach-flat gradient steady Ricci solitons
Bach-flat gradient Ricci solitons Differential Geometry
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2011/9/19
Abstract: In this paper we prove that any $n$-dimensional ($n\ge 4$) complete Bach-flat gradient steady Ricci solitons with positive Ricci curvature is isometric to the Bryant soliton. We also show th...
Numerical ranges of companion matrices: flat portions on the boundary
numerical range companion matrix Functional Analysis Algebraic Geometry
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2011/9/9
Abstract: Criterion for a companion matrix to have a certain number of flat portions on the boundary of its numerical range is given. The criterion is specialized to the cases of 3-by-3 and 4-by-4 mat...
Dual-Frequency Observations of 140 Compact, Flat-Spectrum Active Galactic Nuclei for Scintillation-Induced Variability
Flat-Spectrum Active Galactic Nuclei Variability
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2011/10/8
The 4.9 GHz Micro-Arcsecond Scintillation-Induced Variability (MASIV) Survey detected a drop in Interstellar Scintillation (ISS) for sources at redshifts z > 2, indicating an apparent increase in angu...
Mass-capacity inequalities for conformally flat manifolds with boundary
Mass-capacity inequalities conformally flat manifolds boundary
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2011/8/29
Abstract: In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, capacity and Ale...
Rings over which every module has a flat $δ$-cover
-covers -perfect rings -semiperfect rings Flat modules
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2011/8/25
Abstract: Let $M$ be a module. A {\em $\delta$-cover} of $M$ is an epimorphism from a module $F$ onto $M$ with a $\delta$-small kernel. A $\delta$-cover is said to be a {\em flat $\delta$-cover} in ca...
Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes
Hadamard States Asymptotically Flat Spacetimes General Relativity and Quantum Cosmology
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2011/7/28
Abstract: We develop a quantization scheme for the vector potential on globally hyperbolic spacetimes which realizes it as a locally covariant conformal quantum field theory. This result allows us to ...
Evaluation of catchment contributing areas and storm runoff in flat terrain subject to urbanisation
catchment contributing areas storm runoff flat terrain subject
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2011/3/14
Contributing Catchment Area Analysis (CCAA) is a spatial analysis technique developed and used for estimation of the hydrological connectivity of relatively flat catchments. It allows accounting for t...