標(biāo)題: Titlebook: Einstein Manifolds; Arthur L. Besse Book 1987 Springer-Verlag Berlin Heidelberg 1987 Einstein.Manifolds.Riemannian geometry.Submersion.Top [打印本頁] 作者: Recovery 時間: 2025-3-21 17:27
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作者: ureter 時間: 2025-3-21 23:10 作者: 引起痛苦 時間: 2025-3-22 01:51 作者: vertebrate 時間: 2025-3-22 04:58
,W?rme- und K?lteversorgungsanlagen,Riemannian metrics. We do not distinguish between an Einstein metric . and equivalent tensor fields . = ., where φ is a diffeomorphism of ., and . a positive constant. In the sequel, the quotient space of Einstein metrics under this relation is called the . of Einstein structures on ., and . by ..作者: 詞匯 時間: 2025-3-22 09:38
https://doi.org/10.1007/978-3-662-28712-5it one may split 2-forms into . and . forms. This can be applied in particular to the middle cohomology of a compact four-manifold or to the curvature form of any bundle with connection over an oriented four-manifold.作者: Cirrhosis 時間: 2025-3-22 13:16 作者: Cirrhosis 時間: 2025-3-22 18:30
Basic Material,ons of Riemannian (and pseudo-Riemannian) geometry. This is mainly intended to fix the definitions and notations that we will use in the book. As a consequence, many fundamental theorems will be quoted without proofs because these are available in classical textbooks on Riemannian geometry such as [Ch-Eb], [Hel 1], [Ko-No 1 and 2], [Spi].作者: 縮短 時間: 2025-3-22 21:17 作者: 夜晚 時間: 2025-3-23 04:11 作者: 加強(qiáng)防衛(wèi) 時間: 2025-3-23 09:23
The Moduli Space of Einstein Structures,Riemannian metrics. We do not distinguish between an Einstein metric . and equivalent tensor fields . = ., where φ is a diffeomorphism of ., and . a positive constant. In the sequel, the quotient space of Einstein metrics under this relation is called the . of Einstein structures on ., and . by ..作者: neuron 時間: 2025-3-23 13:02 作者: Maximize 時間: 2025-3-23 16:15 作者: kyphoplasty 時間: 2025-3-23 20:40 作者: COKE 時間: 2025-3-24 01:06
https://doi.org/10.1007/978-3-658-23226-9Which compact manifolds do admit an Einstein metric? Except in dimension 2 (see Section B of this chapter), a complete answer to this question seems out of reach today. At least, in dimensions 3 and 4, we can single out a few manifolds which definitely . admit any Einstein metric.作者: elucidate 時間: 2025-3-24 04:12 作者: 先鋒派 時間: 2025-3-24 08:26 作者: 勉強(qiáng) 時間: 2025-3-24 11:21 作者: 令人苦惱 時間: 2025-3-24 17:58
https://doi.org/10.1007/978-3-662-34560-3Since the main emphasis of the boook is on compact spaces, this chapter on non-compact examples is only meant as a report.作者: browbeat 時間: 2025-3-24 19:01 作者: 完成 時間: 2025-3-25 03:08 作者: Myocyte 時間: 2025-3-25 05:33
Homogeneous Riemannian Manifolds,In this chapter, we sketch the general theory of homogeneous Riemannian manifolds and we use it to give some examples of (homogeneous) Einstein manifolds. Up to now, the general classification of homogeneous Einstein manifolds is not known even in the compact case. In particular, the following question is still an open problem.作者: 放肆的你 時間: 2025-3-25 07:55 作者: 粗語 時間: 2025-3-25 13:09
Riemannian Submersions,The notion of . (see 1.70) has been intensively studied since the very beginning of Riemannian geometry. Indeed the first Riemannian manifolds to be studied were surfaces imbedded in R.. As a consequence, the differential geometry of Riemannian immersions is well known and available in many textbooks (see for example [Ko-No 1, 2], [Spi]).作者: 殘酷的地方 時間: 2025-3-25 19:18 作者: 寄生蟲 時間: 2025-3-25 20:19 作者: conference 時間: 2025-3-26 02:39
Arthur L. BesseIncludes supplementary material: 作者: Affirm 時間: 2025-3-26 06:28 作者: Keratin 時間: 2025-3-26 09:03
https://doi.org/10.1007/978-3-540-74311-8Einstein; Manifolds; Riemannian geometry; Submersion; Topology; Volume; curvature; equation; function; geomet作者: 讓你明白 時間: 2025-3-26 16:22
978-3-540-74120-6Springer-Verlag Berlin Heidelberg 1987作者: 臆斷 時間: 2025-3-26 18:46
Geburtshilfliche Operationslehref an infinity of small pieces of Euclidean spaces). In modern language, a Riemannian manifold (.) consists of the following data: a compact .. manifold . and a metric tensor field . which is a positive definite bilinear symmetric differential form on .. In other words, we associate with every point 作者: installment 時間: 2025-3-26 22:17
Verfahren zur Erweiterung der Weichteileons of Riemannian (and pseudo-Riemannian) geometry. This is mainly intended to fix the definitions and notations that we will use in the book. As a consequence, many fundamental theorems will be quoted without proofs because these are available in classical textbooks on Riemannian geometry such as [作者: 半導(dǎo)體 時間: 2025-3-27 03:02
https://doi.org/10.1007/978-3-662-32976-4ield in the absence of matter. This equation was formulated by Einstein in 1915. A brief history of the development of Einstein’s field equation through quotes from early papers can be found in [Mi-Th-Wh] (pp. 431–434).作者: 災(zāi)禍 時間: 2025-3-27 05:52 作者: curettage 時間: 2025-3-27 10:28
https://doi.org/10.1007/978-3-662-52825-9erential operator. In other words, given a metric ., its Ricci curvature . is computed locally in terms of the first and second partial derivatives of .. We will think of . as prescribed and wish to investigate the properties of the metric. Some natural questions that arise are:作者: 鎮(zhèn)痛劑 時間: 2025-3-27 16:25 作者: corpus-callosum 時間: 2025-3-27 18:34
https://doi.org/10.1007/978-3-642-29546-1r K?hler, or locally homogeneous. On a complex manifold, one often gets K?hler-Einstein metrics by specific techniques. One reason is perhaps, in the K?hler case, the relative autonomy of the Ricci tensor with regard to the metric, once the complex structure is given. The Ricci tensor—or, to be prec作者: 松雞 時間: 2025-3-27 22:51
,W?rme- und K?lteversorgungsanlagen,Riemannian metrics. We do not distinguish between an Einstein metric . and equivalent tensor fields . = ., where φ is a diffeomorphism of ., and . a positive constant. In the sequel, the quotient space of Einstein metrics under this relation is called the . of Einstein structures on ., and . by ..作者: 實現(xiàn) 時間: 2025-3-28 04:05 作者: 載貨清單 時間: 2025-3-28 07:45
,Gebühren für approbierte Aerzte,in fact quite different, more different for example than .(.) from .(.). More precisely, .(.) is included in .(2.), so Riemannian manifolds with holonomy contained in .(.) are particular cases of K?hler manifolds with zero Ricci curvature.作者: 商議 時間: 2025-3-28 11:14 作者: 儲備 時間: 2025-3-28 16:18
Riemannian Functionals,y can be recovered from the action (math) (total scalar curvature). His paper contains prophetic ideas about the role played by the diffeomorphism group, which he already considered as a “gauge group”.作者: foppish 時間: 2025-3-28 22:43 作者: 代理人 時間: 2025-3-28 23:16
Book 1987 which presents an up-to-date overview of the state of the art in this field. "Einstein Manifold"s is a successful attempt to organize the abundant literature, with emphasis on examples. Parts of it can be used separately as introduction to modern Riemannian geometry through topics like homogeneous spaces, submersions, or Riemannian functionals..作者: resuscitation 時間: 2025-3-29 06:28
https://doi.org/10.1007/978-3-642-29546-1these circumstances, it has been possible to exhibit some existence theorems of Einstein metrics in the K?hler framework (Calabi-Yau and Aubin-Calabi-Yau theorems) which have no counterpart in general Riemannian geometry.作者: 披肩 時間: 2025-3-29 07:27 作者: 獨(dú)裁政府 時間: 2025-3-29 15:12 作者: 駕駛 時間: 2025-3-29 16:06
Geburtshilfliche Operationslehred . and a metric tensor field . which is a positive definite bilinear symmetric differential form on .. In other words, we associate with every point . of . a Euclidean structure .. on the tangent space ... of . at . and require the association . ? .. to be ... We say that . is a Riemannian . on ..作者: 浸軟 時間: 2025-3-29 22:21 作者: 排名真古怪 時間: 2025-3-30 02:44 作者: 我不死扛 時間: 2025-3-30 07:53
Book 1987em. Recently, it has produced several striking results, which have been of great interest also to physicists. This Ergebnisse volume is the first book which presents an up-to-date overview of the state of the art in this field. "Einstein Manifold"s is a successful attempt to organize the abundant li作者: 慢慢流出 時間: 2025-3-30 09:12
1431-0821 cessful attempt to organize the abundant literature, with emphasis on examples. Parts of it can be used separately as introduction to modern Riemannian geometry through topics like homogeneous spaces, submersions, or Riemannian functionals..978-3-540-74120-6978-3-540-74311-8Series ISSN 1431-0821 Series E-ISSN 2512-5257 作者: 甜食 時間: 2025-3-30 15:43 作者: Ointment 時間: 2025-3-30 16:54 作者: Inoperable 時間: 2025-3-30 21:17
Relativity,ield in the absence of matter. This equation was formulated by Einstein in 1915. A brief history of the development of Einstein’s field equation through quotes from early papers can be found in [Mi-Th-Wh] (pp. 431–434).作者: 掙扎 時間: 2025-3-31 03:10
Riemannian Functionals,suitable functional, called the action on the configuration space (cf. [Ab-Ma], [Arn]). Hilbert proved ([Hil]) that the equations of general relativity can be recovered from the action (math) (total scalar curvature). His paper contains prophetic ideas about the role played by the diffeomorphism gro作者: 知道 時間: 2025-3-31 08:07
Ricci Curvature as a Partial Differential Equation,erential operator. In other words, given a metric ., its Ricci curvature . is computed locally in terms of the first and second partial derivatives of .. We will think of . as prescribed and wish to investigate the properties of the metric. Some natural questions that arise are:作者: agglomerate 時間: 2025-3-31 09:12 作者: 反應(yīng) 時間: 2025-3-31 14:39
,K?hler-Einstein Metrics and the Calabi Conjecture,r K?hler, or locally homogeneous. On a complex manifold, one often gets K?hler-Einstein metrics by specific techniques. One reason is perhaps, in the K?hler case, the relative autonomy of the Ricci tensor with regard to the metric, once the complex structure is given. The Ricci tensor—or, to be prec作者: legitimate 時間: 2025-3-31 20:33
