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Counter-examples to the generalized positive action conjecture
Springer Science and Business Media LLC - Tập 118 - Trang 591-596 - 1988
Claude LeBrun
We give examples of complete locally asymptotically flat Riemannian 4-manifolds with zero scalar curvature and negative mass. The generalized positive action conjecture of Hawking and Pope [5] is therefore false.
Properties of certain matrices related to the equilibrium configuration of the one-dimensional many-body problems with the pair potentialsV 1(x)=−log ∣sinx∣ andV 2(x)=1/sin2 x
Springer Science and Business Media LLC - Tập 59 - Trang 109-116 - 1978
F. Calogero, A. M. Perelomov
It is shown that at equilibrium certain matrices associated to the one-dimensional many-body problems with the pair potentialsV 1(x)=−log∣sinx∣ andV 2(x)=1/sin2 x have a very simple structure. These matrices are those that characterize the small oscillations of these systems around their equilibrium configurations, and, for the second system, the Lax matrices that demonstrate its integrability.
Group-theoretical interpretation of the Korteweg-de Vries type equations
Springer Science and Business Media LLC - Tập 74 - Trang 129-140 - 1980
F. A. Berezin, A. M. Perelomov
The Korteweg-de Vries equation is studied within the group-theoretical framework. Analogous equations are obtained for which the many-dimensional Schrödinger equation (with nonlocal potential) plays the same role as the one-dimensional Schrödinger equation does in the theory of the Korteweg-de Vries equation.
Inverse Spectral Problem with Partial Information¶on the Potential: The Case of the Whole Real Line
Springer Science and Business Media LLC - Tập 210 - Trang 399-411 - 2000
A. Khodakovsky
The Schrödinger operator is considered on the real axis. We discuss the inverse spectral problem where discrete spectrum and the potential on the positive half-axis determine the potential completely. We do not impose any restrictions on the growth of the potential but only assume that the operator is bounded from below, has discrete spectrum, and the potenti...... hiện toàn bộ
Mean Curvature Flow in a Ricci Flow Background
Springer Science and Business Media LLC - Tập 313 - Trang 517-533 - 2012
John Lott
Following work of Ecker (Comm Anal Geom 15:1025–1061, 2007), we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman’s modified Ricci flow. The answer has a boundary term which involves an extension of Hamilton’s differential Harnack expression for the mean curvature flow in Euclidea...... hiện toàn bộ
Orthomodular Lattices Generated by Graphs of Functions
Springer Science and Business Media LLC - Tập 259 Số 2 - Trang 363-366 - 2005
Wojciech Cegła, Jan Florek
A Relation Between Disorder Chaos and Incongruent States in Spin Glasses on $${\mathbb{Z}^d}$$
Springer Science and Business Media LLC - Tập 367 - Trang 1019-1043 - 2019
L.-P. Arguin, C. M. Newman, D. L. Stein
We derive lower bounds for the variance of the difference of energies between incongruent ground states, i.e., states with edge overlaps strictly less than one, of the Edwards–Anderson model on $${\mathbb{Z}^d}$$ . The bounds highlight a relation ...... hiện toàn bộ
Poisson Groups and Differential Galois Theory of Schroedinger Equation on the Circle
Springer Science and Business Media LLC - - 2008
Ian Marshall, Michael Semenov-Tian-Shansky
We combine the projective geometry approach to Schroedinger equations on the circle and differential Galois theory with the theory of Poisson Lie groups to construct a natural Poisson structure on the space of wave functions (at the zero energy level). Applications to KdV-like nonlinear equations are discussed. The same approach is applied to 2nd order difference operators on a one-dimensional lat...... hiện toàn bộ
Demazure Modules, Fusion Products and Q-Systems
Springer Science and Business Media LLC - Tập 333 - Trang 799-830 - 2014
Vyjayanthi Chari, R. Venkatesh
In this paper, we introduce a family of indecomposable finite-dimensional graded modules for the current algebra associated to a simple Lie algebra. These modules are indexed by an $${|R^{+}|}$$ -tuple of partitions ...... hiện toàn bộ
Dimension of the commutant for theSU(N) affine algebras
Springer Science and Business Media LLC - - 1990
Philippe Ruelle
Tổng số: 7,991   
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