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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We examine the moduli space of oriented locally homogeneous manifolds of Type~$\mathcal{A}$ which have non-degenerate symmetric Ricci tensor both in the setting of manifolds with torsion and also in the torsion free setting where the dimension is at least 3. These exhibit phenomena that is very different than in the case of surfaces. In dimension 3, we determine all the possible symmetry groups in the torsion free setting.
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참고문헌 (27)
참고문헌 신청
A. Coimbra / 2016 / Supersymmetric backgrounds and generalized special holonomy / Classical Quantum Gravity 33 (12) : 27 ~
A. Derdzinski / 2011 / Noncompactness and maximum mobility of type III Ricci-flat self-dual neutral Walker four-manifolds / Q. J. Math 62 (2) : 363 ~ 395
A. Guillot / 2014 / A classification of locally homogeneous affine connections on compact surfaces / Ann. Global Anal. Geom 46 (4) : 335 ~ 349
E. Calvino-Louzao / 2009 / The geometry of modified Riemannian extensions / Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci 465 (2107) : 2023 ~ 2040
E. Calvino-Louzao / 2010 / Riemann extensions of torsion-free connections with degenerate Ricci tensor / Canad. J. Math 62 (5) : 1037 ~ 1057
A. Derdzinski / 2011 / Noncompactness and maximum mobility of type III Ricci-flat self-dual neutral Walker four-manifolds / Q. J. Math 62 (2) : 363 ~ 395
A. Guillot / 2014 / A classification of locally homogeneous affine connections on compact surfaces / Ann. Global Anal. Geom 46 (4) : 335 ~ 349
E. Calvino-Louzao / 2009 / The geometry of modified Riemannian extensions / Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci 465 (2107) : 2023 ~ 2040
E. Calvino-Louzao / 2010 / Riemann extensions of torsion-free connections with degenerate Ricci tensor / Canad. J. Math 62 (5) : 1037 ~ 1057
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