Results 11 to 20 of about 8,535 (37)

A Projective-to-Conformal Fefferman-Type Construction [PDF]

, 2017
We study a Fefferman-type construction based on the inclusion of Lie groups ${\rm SL}(n+1)$ into ${\rm Spin}(n+1,n+1)$. The construction associates a split-signature $(n,n)$-conformal spin structure to a projective structure of dimension $n$.
Hammerl, Matthias, Sagerschnig, Katja, Taghavi-Chabert, Arman, Šilhan, Josef, Žádník, Vojtěch   +4 more
core   +3 more sources

Monge-Ampere equations and generalized complex geometry. The two-dimensional case

, 2006
We associate an integrable generalized complex structure to each 2-dimensional symplectic Monge-Amp\`ere equation of divergent type and, using the Gualtieri $\bar{\partial}$ operator, we characterize the conservation laws and the generating function of ...
Banos, Bertrand
core   +3 more sources

Reformulating Supersymmetry with a Generalized Dolbeault Operator

, 2007
The conditions for N=1 supersymmetry in type II supergravity have been previously reformulated in terms of generalized complex geometry. We improve that reformulation so as to completely eliminate the remaining explicit dependence on the metric. Doing so
Alessandro Tomasiello, B. Weinkove, C. Jeschek, G.R. Cavalcanti, J. Brylinski, J.-X. Fu, J.L. Koszul, J.P. Hsu, K. Dasgupta, L. Martucci, L. Martucci, M. Abouzaid, M. Crainic, M. Gerstenhaber, M. Graña, M. Graña, M. Graña, M. Gualtieri, M. Gualtieri, M. Kontsevich, M. Wijnholt, N.J. Hitchin, O. Lunin, P. Koerber, P. Koerber, P. Koerber, P. Koerber, R. Minasian, S. Guttenberg, S. Kachru, V. Tosatti, Y. Li   +31 more
core   +2 more sources

Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds

, 2003
Let s be at least 2. We construct Ricci flat pseudo-Riemannian manifolds of signature (2s,s) which are not locally homogeneous but whose curvature tensors never the less exhibit a number of important symmetry properties.
Bla?i? N, Bla?i? N, Bla?i? N Vukmirovi? S, Boeckx E, Boeckx E, Bonome A, Bueken P, Chi Q-S, Derdzinski A, Dunn C Gilkey P, Fiedler B Gilkey P, García-Río E, Gilkey P, Gilkey P, Gilkey P, Gilkey P Ivanova R, Gilkey P Nik?evi? S, Hahn J, Koutras A, Kowalski O, Kowalski O, Kowalski O, Kowalski O, Kowalski O, Nikolayevsky Y, Nikolayevsky Y, Osserman R, P Gilkey, S Nik evi, Stanilov G, Stavrov I, Tomassini A, Tricerri F, Tzankov J Videv V, Vanhecke L   +34 more
core   +3 more sources

Minimal surfaces - variational theory and applications [PDF]

, 2014
Minimal surfaces are among the most natural objects in Differential Geometry, and have been studied for the past 250 years ever since the pioneering work of Lagrange.
Marques, Fernando Coda
core  

The structure of algebraic covariant derivative curvature tensors

, 2004
We use the Nash embedding theorem to construct generators for the space of algebraic covariant derivative curvature ...
B. FIEDLER, Belger M., Chi Q.-S., E. GARCÍA-RÍO, Fiedler B., Fiedler B., Gilkey P., J. DÍAZ-RAMOS, P. GILKEY   +8 more
core   +2 more sources

Deformations of minimal Lagrangian submanifolds with boundary [PDF]

, 2001
Let $L$ be a special Lagrangian submanifold of a compact, Calabi-Yau manifold $M$ with boundary lying on the symplectic, codimension 2 submanifold $W$. It is shown how deformations of $L$ which keep the boundary of $L$ confined to $W$ can be described by
Adrian Butscher, Communicated Bennett Chow   +1 more
core   +1 more source

Extended Riemannian Geometry II: Local Heterotic Double Field Theory

, 2018
We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Deser, Andreas, Heller, Marc Andre, Saemann, Christian   +2 more
core   +1 more source

The graded Jacobi algebras and (co)homology

, 2002
Jacobi algebroids (i.e. `Jacobi versions' of Lie algebroids) are studied in the context of graded Jacobi brackets on graded commutative algebras. This unifies varios concepts of graded Lie structures in geometry and physics.
, Beltrán J V, Brylinski J L, Courant T J, Courant T J, Dazord P, de León M, Dorfman I Ya, Fuchssteiner B, Giuseppe Marmo, Grabowska K, Grabowski J, Grabowski J, Guédira F, Iglesias D, Iglesias D, Janusz Grabowski, Kerbrat Y, Kirillov A, Kosmann-Schwarzbach Y, Kosmann-Schwarzbach Y, Kosmann-Schwarzbach Y, Kosmann-Schwarzbach Y, Koszul J-L, Krasil'shchik I S, Krasil'shchik I S, Krasil'shchik I S, Krasil'shchik I S, Lichnerowicz A, Liu Z-J, Mackenzie K, Mackenzie K C H, Martinez E, Michor P, Nijenhuis A, Petalidou F, Roytenberg D, Tan YouJun, Uchino K, Vaisman I, Vaisman I, Vinogradov A M, Vinogradov A M, Vinogradov M M, Witten E   +44 more
core   +1 more source

Reduction and duality in generalized geometry [PDF]

, 2006
Extending our reduction construction in \cite{Hu} to the Hamiltonian action of a Poisson Lie group, we show that generalized K\"ahler reduction exists even when only one generalized complex structure in the pair is preserved by the group action.
Hu, Shengda
core   +2 more sources