A deformation of Sasakian structure in the presence of torsion and supergravity solutions

@article{Houri2012ADO,
  title={A deformation of Sasakian structure in the presence of torsion and supergravity solutions},
  author={Tsuyoshi Houri and Hiroshi Takeuchi and Yukinori Yasui},
  journal={Classical and Quantum Gravity},
  year={2012},
  volume={30}
}
A deformation of Sasakian structure in the presence of totally skew-symmetric torsion is discussed on odd-dimensional manifolds whose metric cones are Kähler with torsion. It is shown that such a geometry inherits similar properties to those of Sasakian geometry. As their example, we present an explicit expression of local metrics. It is also demonstrated that our example of the metrics admits the existence of hidden symmetry described by non-trivial odd-rank generalized closed conformal… 

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