Results 41 to 50 of about 24,392 (153)

Geometry of Quaternionic K\"ahler connections with torsion

, 2000
The target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n).Sp(1), QKT-connection. We study the geometry of QKT-connections.
Alekseevsky, Alekseevsky, Alekseevsky, Alekseevsky, Atiyah, Berger, Bismut, Bonan, Bonneau, Boyer, Gates, Gauduchon, Gauduchon, Gauduchon, Grantcharov, Hitchin, Howe, Howe, Howe, Ishihara, Madsen, Madsen, Madsen, Newlander, Nishino, Obata, Ornea, Ornea, Pedersen, Pedersen, Pedersen, Salamon, Salamon, Salamon, Stefan Ivanov, Tod   +35 more
core   +1 more source

Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds

Symmetry, Integrability and Geometry: Methods and Applications, 2007
A conformal description of Poincaré-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure.
A. Rod Gover
doaj  

Curvature and Solitonic Structures of Para-Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics
This paper investigates the complete lift of para-Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η ...
Lalnunenga Colney, Dalal Alhwikem, Teg Alam   +2 more
doaj   +1 more source

Constructing conformally flat structures on some Seifert fibred 3-manifolds

Mathematische Annalen, 1992
Möbius structures on some \(PSL_ 2(R)\) Seifert fibered 3-manifolds are constructed. The method is similar to the cutting and gluing construction of hyperbolic structures on surfaces of genus greater than one.
openaire   +2 more sources

Sasaki-Einstein 5-manifolds associated to toric 3-Sasaki manifolds [PDF]

, 2012
We give a correspondence between toric 3-Sasaki 7-manifolds S and certain toric Sasaki-Einstein 5-manifolds M. These 5-manifolds are all diffeomorphic to k#(S^2\times S^3), where k=2b_2(S)+1, and are given by a pencil of Sasaki embeddings of M in S and ...
van Coevering, Craig
core   +4 more sources

Spinor equations in Weyl geometry [PDF]

, 1999
In this paper, the Dirac, twistor and Killing equations on Weyl manifolds with CSpin structures are investigated. A conformal Schr"odinger-Lichnerowicz formula is presented and used to show integrability conditions for these equations. By introducing the
Buchholz, Volker
core   +4 more sources

3-dimensional Cauchy-Riemann structures and 2nd order ordinary differential equations

, 2003
The equivalence problem for second order ODEs given modulo point transformations is solved in full analogy with the equivalence problem of nondegenerate 3-dimensional CR structures. This approach enables an analog of the Feffereman metrics to be defined.
Baston R J, Burns D Jr, Cartan E, Cartan E, Cartan E, Cartan E, Crampin M, Fefferman C L, Fefferman C L, Fritelli S, Graham C R, Hitchin N, Jacobowitz H, Kobayashi S, Kozameh C, Lewandowski J, Lewandowski J, Lewandowski J, Lewandowski J, Lie S, Newman E T, Nurowski P, Nurowski P, Nurowski P, Nurowski P, Olver P J, Penrose R, Penrose R, Penrose R, Petrov A Z, Poincaré H, Robinson I, Robinson I, Robinson I Trautman A R Ruffini, Segre B, Sparling G A J, Sparling G A J, Tafel J, Tafel J, Trautman A, Trautman A, Tresse M A, Tresse M A   +42 more
core   +2 more sources

Supersymmetric scale-separated AdS3 orientifold vacua of type IIB

Journal of High Energy Physics
I construct supersymmetric AdS3 vacua of type IIB string theory that exhibit parametric scale separation in the controlled regime. These solutions arise from compactifications on seven-dimensional manifolds equipped with co-closed G 2-structures, in the ...
Vincent Van Hemelryck
doaj   +1 more source

Holomorphic harmonic morphisms from four-dimensional non-Einstein manifolds

, 2014
We construct 4-dimensional Riemannian Lie groups carrying left-invariant conformal foliations with minimal leaves of codimension 2. We show that these foliations are holomorphic with respect to an (integrable) Hermitian structure which is not K\" ahler ...
Gudmundsson, Sigmundur
core   +1 more source

Representation theory of solitons

Journal of High Energy Physics
Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons.
Clay Córdova, Nicholas Holfester, Kantaro Ohmori   +2 more
doaj   +1 more source