منابع مشابه
Deformations of Complex Structures
In this section, we discuss briefly how to compare different almost complex structures on a manifold. Let M be a fixed compact manifold, TM its tangent bundle. Let J ∈ End(TM ) be an almost complex structure on M , with associated decomposition TM ⊗ C ' TM 0,1 ⊕ TM 1,0, and projections π0,1 and π1,0 to the two summands. Now suppose J ′ is a second almost complex structure. The reader should thi...
متن کاملDeformations of Hypercomplex Structures
Twistor theory shows that deformations of a hypercomplex manifold correspond to deformations of a canonically constructed holomorphic map from the twistor space of the hypercomplex manifold onto the complex projective line. Applying Horikawa's theory of deformations of maps, we calculate deformations of compact quotients and twists of the associated bundles of quaternionic manifolds. In particu...
متن کاملEinstein structures on four-dimensional nutral Lie groups
When Einstein was thinking about the theory of general relativity based on the elimination of especial relativity constraints (especially the geometric relationship of space and time), he understood the first limitation of especial relativity is ignoring changes over time. Because in especial relativity, only the curvature of the space was considered. Therefore, tensor calculations should be to...
متن کاملDeformations of G-structures Part A: General Theory of Deformations
This paper is concerned with deformations of structures on manifolds. It is divided into two parts: Part A treats the question of defining a general theory of deformations which will generalize the theory in, e.g. [1 ], [7], and [10], while at the same time retaining some geometric or analytical significance. The second section, Part B, investigates in more detail the implications of our genera...
متن کاملDeformations of bihamiltonian structures of hydrodynamic type
In this paper we study the deformations of bihamiltonian PDEs of hydrodynamic type with one dependent variable. The reason we study such deformations is that the deformed systems maintain an infinite number of commuting integrals of motion up to a certain order in the deformation parameter. This fact suggests that these systems could have, at least for small times, multi-solitons solutions. Our...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2010
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2009.12.017