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періодичних видань НАН України
Natural Intrinsic Geometrical Symmetries
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Natural Intrinsic Geometrical Symmetries
Інший ID:
2000 Mathematics Subject Classification: 53A55; 53B20
Посилання:
Natural Intrinsic Geometrical Symmetries / S. Haesen, L. Verstraelen // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 71 назв. — англ.
Підтримка:
This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. The authors do thank the referees whose comments resulted in real improvements of the original version of this paper. The first author was partially supported by the Spanish MEC Grant MTM2007-60731 with FEDER funds and the Junta de Andaluc´ıa Regional Grant P06-FQM01951. Both authors were partially supported by the Research Foundation Flanders project G.0432.07.
Дата:
2009
Переглядів:
421
Завантажень:
284
Анотація:
A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces of constant Riemannian curvature, that is, beyond the spaces which are homogeneous and isotropic, or, still, the spaces which satisfy the axiom of free mobility.
