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Titlebook: Aspects of Differential Geometry III; Esteban Calvi?o-Louzao,Eduardo García-Río,JeongHye Book 2017 Springer Nature Switzerland AG 2017

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樓主: 孵化
11#
發(fā)表于 2025-3-23 11:15:28 | 只看該作者
12#
發(fā)表于 2025-3-23 16:15:24 | 只看該作者
Book 2017have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern?Gauss?Bonnet formula is treated from this poi
13#
發(fā)表于 2025-3-23 21:09:50 | 只看該作者
14#
發(fā)表于 2025-3-24 00:11:21 | 只看該作者
Ricci Solitons,suitably chosen geometric conditions. By working in the pseudo-Riemannian setting, we can construct Ricci solitons which do not have a Riemannian analogue. This is due, in part, to the existence of pseudo-Riemannian manifolds which are not flat and which admit non-trivial homothety vector fields.
15#
發(fā)表于 2025-3-24 06:21:23 | 只看該作者
16#
發(fā)表于 2025-3-24 10:06:08 | 只看該作者
,SN 1987A und unsere n?chste Supernova,omothety homogeneity. Let . be a homothety homogeneity manifold which has non-trivial homotethy character, i.e., which admits a diffeomorphism ? so ?*g = λ.g for λ. ≠ 1. In Section 10.1, we show that if . is not VSI, then . is not homogeneous and present other foundational material. In Section 10.2,
17#
發(fā)表于 2025-3-24 12:42:21 | 只看該作者
Ein Lichtstrahl durchdringt den Weltraum,suitably chosen geometric conditions. By working in the pseudo-Riemannian setting, we can construct Ricci solitons which do not have a Riemannian analogue. This is due, in part, to the existence of pseudo-Riemannian manifolds which are not flat and which admit non-trivial homothety vector fields.
18#
發(fā)表于 2025-3-24 15:11:10 | 只看該作者
19#
發(fā)表于 2025-3-24 21:29:54 | 只看該作者
20#
發(fā)表于 2025-3-25 01:04:40 | 只看該作者
Ein Lichtstrahl durchdringt den Weltraum,suitably chosen geometric conditions. By working in the pseudo-Riemannian setting, we can construct Ricci solitons which do not have a Riemannian analogue. This is due, in part, to the existence of pseudo-Riemannian manifolds which are not flat and which admit non-trivial homothety vector fields.
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