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Minkowski and (A)dS ground states in general 2d dilaton gravity
We reorganize the derivative expansion of general (power-counting nonrenormalizable) 2d dilaton gravity such that the mass function is integrable. As...
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Reconstructing Planar Ellipses from Translation-Invariant Minkowski Tensors of Rank Two
Minkowski tensors contain information about shape and orientation of the underlying convex body. We make this precise by showing that reconstructing...
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First-order thermodynamics of scalar-tensor gravity
The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and...
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Lorentzian Spectral Zeta Functions on Asymptotically Minkowski Spacetimes
In this note, we consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator...
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On the Dual Jet Conformal Minkowski Hamiltonian
In this chapter, we develop the distinguished Riemannian geometry (in the sense of d-torsions, d-curvatures, and momentum field-like geometrical...
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From the Brunn-Minkowski Inequality to a Class of Generalized Poincaré-Type Inequalities for Torsional Rigidity
In this paper, we establish a class of generalized Poincaré-type inequalities for torsional rigidity on the boundary of a convex body of class
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The time-like minimal surface equation in Minkowski space: low regularity solutions
It has long been conjectured that for nonlinear wave equations that satisfy a nonlinear form of the null condition, the low regularity well-posedness...
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A Minkowski Inequality for Horowitz–Myers Geon
We prove a sharp inequality for toroidal hypersurfaces in three- and four-dimensional Horowitz–Myers geon. This extend previous results on Minkowski...
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Weierstrass representation for timelike surfaces in Minkowski 4-space
In this paper we generalize the Weierstrass representation formula for minimal timelike surfaces in Minkowski 3-space, that was found by S. Lee, for...
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Incompressible Limit of the Compressible Q-tensor System of Liquid Crystals
We study the connection between the compressible Navier-Stokes equations coupled by the Q-tensor equation for liquid crystals with the incompressible...
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The Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere
Let M t be an isoparametric foliation on the unit sphere ( S n −1 (1), g st ) with d principal curvatures. Using the spherical coordinates induced by M t , we...
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Jointly convex map**s related to Lieb’s theorem and Minkowski type operator inequalities
Employing the notion of operator log-convexity, we study joint concavity/convexity of multivariable operator functions related to Lieb’s theorem:
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On Minimal Surfaces Immersed in Three Dimensional Kropina Minkowski Space
In this paper we consider a three dimensional Kropina space and obtain a partial differential equation that characterizes minimal surfaces with the...
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The Wave Resolvent for Compactly Supported Perturbations of Minkowski Space
In this note, we consider the wave operator □g in the case of globally hyperbolic, compactly supported perturbations of static spacetimes. We give an...
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On Mean Cartan Torsion of Finsler Metrics
We prove that Finsler manifolds with unbounded mean Cartan torsion cannot be isometrically imbedded into any Minkowski space. We also study the...
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An equivalence theorem of a class of Minkowski norms and its applications
In this paper, the Cartan tensors of the ( α, β )-norms are investigated in detail. Then an equivalence theorem of ( α, β )-norms is proved. As a...