%0 Generic %1 hitchin2002generalized %A Hitchin, Nigel %D 2002 %K calabi generalized manifold %R 10.1093/qjmath/54.3.281 %T Generalized Calabi-Yau manifolds %U http://arxiv.org/abs/math/0209099 %X A geometrical structure on even-dimensional manifolds is defined which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphisms and closed 2-forms. In the special case of six dimensions we characterize them as critical points of a natural variational problem on closed forms, and prove that a local moduli space is provided by an open set in either the odd or even cohomology.

@misc{hitchin2002generalized, abstract = {A geometrical structure on even-dimensional manifolds is defined which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphisms and closed 2-forms. In the special case of six dimensions we characterize them as critical points of a natural variational problem on closed forms, and prove that a local moduli space is provided by an open set in either the odd or even cohomology.}, added-at = {2013-12-23T11:31:27.000+0100}, author = {Hitchin, Nigel}, biburl = {https://www.bibsonomy.org/bibtex/2567c42384d0ff2d63f038af374871548/aeu_research}, description = {Generalized Calabi-Yau manifolds}, doi = {10.1093/qjmath/54.3.281}, interhash = {c89ce6199e002fc3c066478c2a8d477f}, intrahash = {567c42384d0ff2d63f038af374871548}, keywords = {calabi generalized manifold}, note = {cite arxiv:math/0209099Comment: 37 pages, LateX}, timestamp = {2013-12-24T01:11:41.000+0100}, title = {Generalized Calabi-Yau manifolds}, url = {http://arxiv.org/abs/math/0209099}, year = 2002 }