Results 11 to 20 of about 3,291 (79)

Hyperkahler quotients and algebraic curves [PDF]

, 1999
We develop a graphical representation of polynomial invariants of unitary gauge groups, and use it to find the algebraic curve corresponding to a hyperkahler quotient of a linear space. We apply this method to four dimensional ALE spaces, and for the A_k,
Lindstrom, Ulf, Rocek, Martin, von Unge, Rikard   +2 more
core   +5 more sources

Integral pinched shrinking Ricci solitons [PDF]

, 2015
We prove that a $n$-dimensional, $4 \leq n \leq 6$, compact gradient shrinking Ricci soliton satisfying a $L^{n/2}$-pinching condition is isometric to a quotient of the round $\mathbb{S}^{n}$.
Catino, Giovanni
core   +1 more source

Asymptotically locally flat spacetimes and dynamical black flowers in three dimensions [PDF]

, 2015
The theory of massive gravity proposed by Bergshoeff, Hohm and Townsend is considered in the special case of the pure irreducibly fourth order quadratic Lagrangian.
Barnich, Glenn, Tempo, David, Troessaert, Cédric, Troncoso, Ricardo   +3 more
core   +1 more source

Andrew Lenard: A Mystery Unraveled [PDF]

, 2005
The theory of bi-Hamiltonian systems has its roots in what is commonly referred to as the "Lenard recursion formula". The story about the discovery of the formula told by Andrew Lenard is the subject of this article.Comment: Published in SIGMA (Symmetry,
Praught, Jeffery, Smirnov, Roman G.
core   +2 more sources

Geometry of jet spaces and integrable systems [PDF]

, 2011
An overview of some recent results on the geometry of partial differential equations in application to integrable systems is given. Lagrangian and Hamiltonian formalism both in the free case (on the space of infinite jets) and with constraints (on a PDE)
Ablowitz, Alexander Verbovetsky, Anderson, Astashov, Astashov, Barakat, Baran, Barnich, Belinskii, Bluman, Bluman, Bocharov, Bryant, Bryant, Bäcklund, Camassa, Cartan, Chetverikov, Chetverikov, Cieśliński, Cieśliński, Courant, Darboux, De Sole, Dickey, Dodd, Dodd, Dorfman, Drinfel’d, Dubrovin, Dubrovin, Dudnikov, Faddeev, Filippov, Gardner, Gardner, Gardner, Gel’fand, Getzler, Goldschmidt, Golovko, Golovko, Gomis, Harrison, Henneaux, Henneaux, Hirota, Ibragimov, Igonin, Janet, Joseph Krasil’shchik, Karasu-Kalkanlı, Kaup, Kersten, Kersten, Kersten, Kersten, Kersten, Kersten, Khor’kova, Krasil’shchik, Krasil’shchik, Krasil’shchik, Krasil’shchik, Kruglikov, Kruskal, Kupershmidt, Kupershmidt, Kushner, Lewis, Lie, Lie, Lie, Magri, Magri, Maison, Maison, Manin, Marvan, Marvan, Marvan, Marvan, Mikhailov, Miura, Miura, Morse, Novikov, Odesskii, Olver, Olver, Ovsiannikov, Pommaret, Popovych, Riquier, Rogers, Rogers, Saunders, Saunders, Seiler, Sergyeyev, Spencer, Stephani, Su, Svinolupov, Takens, Tsarev, Tsujishita, Tsujishita, Tulczyjew, Verbovetsky, Verbovetsky, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vitolo, Wahlquist, Wahlquist, Zakharov   +122 more
core   +1 more source

Homogeneous Cotton solitons

, 2013
Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant Cotton solitons, both in the Riemannian and Lorentzian homogeneous ...
Calviño-Louzao, E., Hervella, L. M., Seoane-Bascoy, J., Vázquez-Lorenzo, R.   +3 more
core   +1 more source

Symmetry, Gravity and Noncommutativity [PDF]

, 2006
We review some aspects of the implementation of spacetime symmetries in noncommutative field theories, emphasizing their origin in string theory and how they may be used to construct theories of gravitation. The geometry of canonical noncommutative gauge
Alekseev A Yu, Alishahiha M, Ambjørn J, Ambjørn J, Aschieri P, Aschieri P, Balachandran A P Govindarajan T R Gupta K S Kurkcuoglu S, Bertolami O, Bieliavsky P, Buric M, Cacciatori S, Calmet X, Calvo I Falceto F, Cardella M A, Cattaneo A S Felder G, Chakraborty B, Chari V, Das S R, Dhar A, Figueroa-O'Farrill J M, Gross D J, Halliday S, Halliday S, Harvey J A, Harvey J A, Hashimoto A, Hashimoto A, Herbst M, Herbst M, Ho P-M, Ishibashi N, Jevicki A, Kar S Majumdar S, Kar S Majumdar S, Kathotia V, Kobakhidze A, Kurkcuoglu S Saemann C, Lizzi F, Madore J, Madore J, Moller L, Richard J Szabo, Robbins D, Schomerus V, Seiberg N, Shoikhet B, Szabo R J, Szabo R J, Wess J   +48 more
core   +2 more sources

Conformal Tensors via Lovelock Gravity

, 2013
Constructs from conformal geometry are important in low dimensional gravity models, while in higher dimensions the higher curvature interactions of Lovelock gravity are similarly prominent.
Kastor, David
core   +1 more source

The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure

, 2013
We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized.
Olszak, Zbigniew
core   +1 more source

Bi-Hamiltonian systems on the dual of the Lie algebra of vector fields of the circle and periodic shallow water equations [PDF]

, 2006
23 pagesInternational audienceThis paper is a survey article on bi-Hamiltonian systems on the dual of the Lie algebra of vector fields on the circle. We investigate the special case where one of the structures is the canonical Lie-Poisson structure and ...
Kolev, Boris
core   +4 more sources