# On the symplectic two-form of gravity in terms of Dirac eigenvalues

@article{Abdalla2002OnTS, title={On the symplectic two-form of gravity in terms of Dirac eigenvalues}, author={Maria Cristina Batoni Abdalla and Marco A. De Andrade and M. A. Santos and Ion V. Vancea}, journal={Physics Letters B}, year={2002}, volume={548}, pages={88-91} }

## 2 Citations

### On the Dirac eigenvalues as observables of the on-shell N = 2D = 4 Euclidean supergravity

- Physics, Mathematics
- 2008

We generalize previous works on the Dirac eigenvalues as dynamical variables of Euclidean gravity and N =1 D = 4 supergravity to on-shell N = 2 D = 4 Euclidean supergravity. The covariant phase space…

### Nonlinear connections and spinor geometry

- MathematicsInt. J. Math. Math. Sci.
- 2004

Strong arguments for application of Finsler-like geometries in modern string and gravity theory, noncommutative geometry and noncommUTative field theory, and gravity are emphasized.

### Exact solutions with noncommutative symmetries in Einstein and gauge gravity

- Mathematics
- 2005

We present new classes of exact solutions with noncommutative symmetries constructed in vacuum Einstein gravity (in general, with nonzero cosmological constant), five-dimensional (5D) gravity and…

### Nonholonomic Clifford Structures and Noncommutative Riemann-Finsler Geometry

- Mathematics
- 2004

We survey the geometry of Lagrange and Finsler spaces and discuss the issues related to the definition of curvature of nonholonomic man- ifolds enabled with nonlinear connection structure. It is…

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