In this paper we study the problem of small deformations of D-structures on compact manifolds. We prove that the integrability condition, namely the classical Maurer-Cartan equation, can be viewed as a condition on the space of skew-symmetric derivations of the algebra ∧^{0,∗}_K(M). The last part of the paper is devoted to the study of small deformations of strictly CR D-manifolds, and we consider explicit examples of such CR D-manifolds.
Rossi, F. (2012). On deformations of D-manifolds and CR D-manifolds. JOURNAL OF GEOMETRY AND PHYSICS, 62(2), 464-478 [10.1016/j.geomphys.2011.11.007].
On deformations of D-manifolds and CR D-manifolds
ROSSI, FEDERICO ALBERTO
2012
Abstract
In this paper we study the problem of small deformations of D-structures on compact manifolds. We prove that the integrability condition, namely the classical Maurer-Cartan equation, can be viewed as a condition on the space of skew-symmetric derivations of the algebra ∧^{0,∗}_K(M). The last part of the paper is devoted to the study of small deformations of strictly CR D-manifolds, and we consider explicit examples of such CR D-manifolds.
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