Results 1 to 10 of about 8,520 (22)
Conformal Metrics with Constant Q-Curvature [PDF]
, 2007 We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant $Q$-curvature. The problem is variational, and solutions are in general found as critical points of saddle type.
Malchiodi, Andrea
core +8 more sources
Instantons on sine-cones over Sasakian manifolds [PDF]
, 2014 We investigate instantons on sine-cones over Sasaki-Einstein and 3-Sasakian manifolds. It is shown that these conical Einstein manifolds are K"ahler with torsion (KT) manifolds admitting Hermitian connections with totally antisymmetric torsion ...
Bunk, Severin +4 more
core +3 more sources
Stability and integration over Bergman metrics [PDF]
, 2014 We study partition functions of random Bergman metrics, with the actions defined by a class of geometric functionals known as `stability functions'. We introduce a new stability invariant - the critical value of the coupling constant - defined as the ...
Klevtsov, Semyon, Zelditch, Steve
core +1 more source
Curved Casimir Operators and the BGG Machinery [PDF]
, 2007 We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries.
Cap, Andreas, Soucek, Vladimir
core +6 more sources
Generalised $G_2$-manifolds [PDF]
, 2005 We define new Riemannian structures on 7-manifolds by a differential form of mixed degree which is the critical point of a (possibly constrained) variational problem over a fixed cohomology class.
A. Gyoja +15 more
core +1 more source
Iterated Differential Forms II: Riemannian Geometry Revisited
, 2006 A natural extension of Riemannian geometry to a much wider context is presented on the basis of the iterated differential form formalism developed in math.DG/0605113 and an application to general relativity is given.Comment: 12 pages, extended version of
A. M. Vinogradov +6 more
core +1 more source
Geometric Algebras and Extensors
, 2007 This is the first paper in a series (of four) designed to show how to use geometric algebras of multivectors and extensors to a novel presentation of some topics of differential geometry which are important for a deeper understanding of geometrical ...
A. M. MOYA +5 more
core +3 more sources
Geometric and Extensor Algebras and the Differential Geometry of Arbitrary Manifolds
, 2007 We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U of M, based on the geometric and extensor calculus on an arbitrary smooth ...
A. M. MOYA +3 more
core +2 more sources
Second-Order Conformally Equivariant Quantization in Dimension 1|2 [PDF]
, 2009 This paper is the next step of an ambitious program to develop conformally equivariant quantization on supermanifolds. This problem was considered so far in (super)dimensions 1 and 1|1.
Mellouli, Najla
core +4 more sources
Hypercomplex manifolds with trivial canonical bundle and their holonomy
, 2007 Let (M,I,J,K) be a compact hypercomplex manifold admitting an HKT-metric. Assume that the canonical bundle of (M,I) is trivial as a holomorphic line bundle. We show that the holonomy of Obata connection on M is contained in SL(n,H).
Verbitsky, Misha
core +1 more source