66 research outputs found
Height estimates for Killing graphs
The paper aims at proving global height estimates for Killing graphs defined
over a complete manifold with nonempty boundary. To this end, we first point
out how the geometric analysis on a Killing graph is naturally related to a
weighted manifold structure, where the weight is defined in terms of the length
of the Killing vector field. According to this viewpoint, we introduce some
potential theory on weighted manifolds with boundary and we prove a weighted
volume estimate for intrinsic balls on the Killing graph. Finally, using these
tools, we provide the desired estimate for the weighted height in the
assumption that the Killing graph has constant weighted mean curvature and the
weighted geometry of the ambient space is suitably controlled.Comment: 26 pages. Final version. To appear on Journal of Geometric Analysi
Constant mean curvature surfaces in AdS_3
We construct constant mean curvature surfaces of the general finite-gap type
in AdS_3. The special case with zero mean curvature gives minimal surfaces
relevant for the study of Wilson loops and gluon scattering amplitudes in N=4
super Yang-Mills. We also analyze properties of the finite-gap solutions
including asymptotic behavior and the degenerate (soliton) limit, and discuss
possible solutions with null boundaries.Comment: 19 pages, v2: minor corrections, to appear in JHE
Quark-antiquark potential in AdS at one loop
We derive an exact analytical expression for the one-loop partition function
of a string in AdS_5xS^5 background with world-surface ending on two
anti-parallel lines. All quantum fluctuations are shown to be governed by
integrable, single-gap Lame' operators. The first strong coupling correction to
the quark-antiquark potential, as defined in N=4 SYM, is derived as the sum of
known mathematical constants and a one-dimensional integral representation. Its
full numerical value can be given with arbitrary precision and confirms a
previous result.Comment: 16 pages. Typos corrected, minor change
Inheritance of the acoustic signal parameters in interspecific hybrids of the bank (Myodes glareolus) and the Tien Shan (M. centralis) voles
On the Cohomology of Invariant Variational Bicomplexes
Let Pi = E rarr M be a fiber bundle and let Gamma be an infinitesimal Lie transformation group acting onE. We announce various new results concerning the cohomology of the Gamma invariant variational bicomplex (OHgr Gamma *,* (Jinfin(E)), dH, dV) and the associated Gamma invariant Euler-Lagrange complex. As one application of our general theory, we completely solve the local invariant inverse problem of the calculus of variations for finite-dimensional infinitesimal Lie transformation groups
Identification of Dominant Negative Mutants of Rheb GTPase and Their Use to Implicate the Involvement of Human Rheb in the Activation of p70S6K
Taxonomic identity of Microtus qazvinensis Golenishchev et al. 2003 (Rodentia, Arvicolinae) from the northwest of Iran
Consequences of the introduction of the Russian red tree squirrel Sciurus vulgaris exalbidus (Pallas, 1778) to Omsk oblast
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