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0111 · Feb 199919922001200920172026
4 results for levitation

Hyperelastic bodies in Riemannian manifolds can levitate due to curvature-induced forces.

problem Hyperelastic bodies in Riemannian manifolds can levitate due to curvature-induced forces.
method Numerical simulations of static solutions to a particular class of problems in hyperelastic mechanics.
result Hyperelastic bodies in Riemannian manifolds can levitate due to curvature-induced forces.

Study counts hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants up to volume vv.

problem Counting hyperbolic 4-manifolds with specific topological properties.
method Used volume bounds and commensurability to estimate the number of such manifolds.
result The number of hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants up to volume vv is asymptotically bounded by vcvv^{cv}.

We consider a regular singular Sturm-Liouville operator L:=d2dx2+q(x)x2(1x)2L:=-\frac{d^2}{dx^2} + \frac{q(x)}{x^2 (1-x)^2} on the line segment [0,1][0,1]. We impose certain boundary conditions such that we obtain a semi-bounded self-adjoint operator. It is known that the ζζ-function of this operator $ζ_L(s)=\sum_{λ\in\spec(L)\setminus\{0…

1999-02-19abs ↗pdf ↗