標(biāo)題: Titlebook: Differential and Riemannian Manifolds; Serge Lang Textbook 1995Latest edition Springer-Verlag New York, Inc. 1995 De Rham cohomology.Hodge [打印本頁] 作者: Scuttle 時間: 2025-3-21 19:11
書目名稱Differential and Riemannian Manifolds影響因子(影響力)
書目名稱Differential and Riemannian Manifolds影響因子(影響力)學(xué)科排名
書目名稱Differential and Riemannian Manifolds網(wǎng)絡(luò)公開度
書目名稱Differential and Riemannian Manifolds網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Differential and Riemannian Manifolds被引頻次
書目名稱Differential and Riemannian Manifolds被引頻次學(xué)科排名
書目名稱Differential and Riemannian Manifolds年度引用
書目名稱Differential and Riemannian Manifolds年度引用學(xué)科排名
書目名稱Differential and Riemannian Manifolds讀者反饋
書目名稱Differential and Riemannian Manifolds讀者反饋學(xué)科排名
作者: Calculus 時間: 2025-3-21 22:46
Textbook 1995Latest editionf great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, cov作者: Calculus 時間: 2025-3-22 03:11 作者: ALIEN 時間: 2025-3-22 05:42
Vector Bundles,es. In the chapters on differential forms and Riemannian metrics, we shall discuss in greater detail the constructions associated with multilinear alternating forms, and symmetric positive definite forms.作者: 實現(xiàn) 時間: 2025-3-22 08:46 作者: Wallow 時間: 2025-3-22 14:18 作者: Wallow 時間: 2025-3-22 17:10 作者: Additive 時間: 2025-3-22 23:11
An Easy Jump Start in Real-Time C++inking about the derivative of a map as a linear transformation. (In the finite dimensional case, when bases have been selected, the entries in the matrix of this transformation are the partial derivatives of the map.) We have repeated the proofs for the more important theorems, for the ease of the reader.作者: COW 時間: 2025-3-23 02:28
Garth Stahl,Erica Sharplin,Benjamin Kehrwaldes. In the chapters on differential forms and Riemannian metrics, we shall discuss in greater detail the constructions associated with multilinear alternating forms, and symmetric positive definite forms.作者: 敏捷 時間: 2025-3-23 08:23
Inadequacies of existing control structurestem surrounding such forms. In order to have at least one application, we discuss the fundamental 2-form, and in the next chapter connect it with Riemannian metrics in order to construct canonically the spray associated with such a metric.作者: lacrimal-gland 時間: 2025-3-23 11:00
Inadequacies of existing control structureson in terms of differential forms, for which the reader needs to know the local definition of the exterior derivative. However, the condition involving differential forms is proved to be equivalent to the vector field condition at the very beginning, and does not reappear explicitly afterwards.作者: 其他 時間: 2025-3-23 17:16
Real-Time Mutable Broadcast Disks give readers an outlook conducive for further expansion of perspectives. The sections of this chapter are logically independent of each other, so the reader can pick and choose according to taste or need.作者: 破布 時間: 2025-3-23 20:15 作者: geometrician 時間: 2025-3-23 22:35
Textbook 1995Latest editioneading into many directions. The present book still meets the old needs, but fulfills new ones. At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. In differential topology, one stud作者: 束縛 時間: 2025-3-24 02:39
Graduate Texts in Mathematicshttp://image.papertrans.cn/d/image/278823.jpg作者: 警告 時間: 2025-3-24 06:33
Manifolds,ormal definition. We then make manifolds into a category, and discuss special types of morphisms. We define the tangent space at each point, and apply the criteria following the inverse function theorem to get a local splitting of a manifold when the tangent space splits at a point.作者: Asseverate 時間: 2025-3-24 13:14
Covariant Derivatives and Geodesics,ssumed to be C. unless otherwise specified. We let X be a manifold. We denote the .-vector space of vector fields by ΓT(X). Observe that ΓT(X) is also a module over the ring of functions.We let π:TX →Xbe the natural map of the tangent bundle onto X.作者: Corral 時間: 2025-3-24 17:19
Volume Forms,ose extension to the infinite dimensional case is not evident. So this chapter is devoted to these forms of maximal degree. In the next chapter, we shall study how to integrate them, so the present chapter also provides a transition from the differential theory to the integration theory.作者: 同來核對 時間: 2025-3-24 22:38 作者: Instrumental 時間: 2025-3-25 03:11
Low-Level Hardware Drivers in C++ormal definition. We then make manifolds into a category, and discuss special types of morphisms. We define the tangent space at each point, and apply the criteria following the inverse function theorem to get a local splitting of a manifold when the tangent space splits at a point.作者: Mettle 時間: 2025-3-25 04:16
Garth Stahl,Erica Sharplin,Benjamin Kehrwaldal glueing procedure can be used to construct more general objects known as vector bundles, which give powerful invariants of a given manifold. (For an interesting theorem see Mazur [Maz 61].) In this chapter, we develop purely formally certain functorial constructions having to do with vector bundl作者: 難取悅 時間: 2025-3-25 08:32
Inadequacies of existing control structuresg forms.” Applying it to the tangent bundle, we call the sections of our new bundle differential forms. One can define formally certain relations between functions, vector fields, and differential forms which lie at the foundations of differential and Riemannian geometry. We shall give the basic sys作者: debouch 時間: 2025-3-25 12:43 作者: 燒烤 時間: 2025-3-25 17:38
Lock-Free Transactions for Real-Time Systemsssumed to be C. unless otherwise specified. We let X be a manifold. We denote the .-vector space of vector fields by ΓT(X). Observe that ΓT(X) is also a module over the ring of functions.We let π:TX →Xbe the natural map of the tangent bundle onto X.作者: HUMID 時間: 2025-3-25 23:28
Holger Branding,Alejandro P. Buchmannose extension to the infinite dimensional case is not evident. So this chapter is devoted to these forms of maximal degree. In the next chapter, we shall study how to integrate them, so the present chapter also provides a transition from the differential theory to the integration theory.作者: 仲裁者 時間: 2025-3-26 02:04 作者: Acetaldehyde 時間: 2025-3-26 08:20
Differential and Riemannian Manifolds978-1-4612-4182-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: Bravado 時間: 2025-3-26 10:44 作者: BOGUS 時間: 2025-3-26 15:36 作者: DEVIL 時間: 2025-3-26 19:37 作者: 皺痕 時間: 2025-3-26 23:59
https://doi.org/10.1007/978-1-4612-4182-9De Rham cohomology; Hodge decomposition; Riemannian geometry; cohomology; curvature; differential geometr作者: 緊張過度 時間: 2025-3-27 02:57
978-1-4612-8688-2Springer-Verlag New York, Inc. 1995作者: 空中 時間: 2025-3-27 08:44 作者: 智力高 時間: 2025-3-27 10:02 作者: PTCA635 時間: 2025-3-27 14:07
Real-Time Databases: Real-World RequirementsThis chapter is a continuation of the preceding one, and is concerned with the iteration of covariant derivatives, from a formal point of view, and also from the point of view of their effect on the geometry of the manifold.作者: Androgen 時間: 2025-3-27 18:32
Sherry Listgarten,Marie-Anne NeimatThe material of this chapter is also contained in my book on real analysis [La 93], but it may be useful to the reader to have it also here in a rather self contained way, based only on standard properties of integration in Euclidean space.作者: meretricious 時間: 2025-3-28 01:36 作者: 令人不快 時間: 2025-3-28 03:06 作者: NOTCH 時間: 2025-3-28 10:05 作者: 圣人 時間: 2025-3-28 14:00
Curvature,This chapter is a continuation of the preceding one, and is concerned with the iteration of covariant derivatives, from a formal point of view, and also from the point of view of their effect on the geometry of the manifold.作者: 健談的人 時間: 2025-3-28 15:19 作者: 倫理學(xué) 時間: 2025-3-28 22:38
,Stokes’ Theorem,If . is a manifold and . a submanifold, then any differential form on . induces a form on .. We can view this as a very special case of the inverse image of a form, under the embedding (injection) map.作者: Medley 時間: 2025-3-29 01:56
Differential Calculus,my book on real analysis [La 93] give a self-contained and complete treatment for Banach spaces. We summarize certain facts concerning their properties as topological vector spaces, and then we summarize differential calculus. . and start immediately with Chapter II if the reader is accustomed to th作者: 粘 時間: 2025-3-29 05:10 作者: 我不死扛 時間: 2025-3-29 07:29
Vector Bundles,al glueing procedure can be used to construct more general objects known as vector bundles, which give powerful invariants of a given manifold. (For an interesting theorem see Mazur [Maz 61].) In this chapter, we develop purely formally certain functorial constructions having to do with vector bundl作者: machination 時間: 2025-3-29 13:03
Operations on Vector Fields and Differential Forms,g forms.” Applying it to the tangent bundle, we call the sections of our new bundle differential forms. One can define formally certain relations between functions, vector fields, and differential forms which lie at the foundations of differential and Riemannian geometry. We shall give the basic sys作者: 腐蝕 時間: 2025-3-29 19:13 作者: Atheroma 時間: 2025-3-29 21:25
Covariant Derivatives and Geodesics,ssumed to be C. unless otherwise specified. We let X be a manifold. We denote the .-vector space of vector fields by ΓT(X). Observe that ΓT(X) is also a module over the ring of functions.We let π:TX →Xbe the natural map of the tangent bundle onto X.作者: magnate 時間: 2025-3-30 00:02
Volume Forms,ose extension to the infinite dimensional case is not evident. So this chapter is devoted to these forms of maximal degree. In the next chapter, we shall study how to integrate them, so the present chapter also provides a transition from the differential theory to the integration theory.作者: 拱形大橋 時間: 2025-3-30 04:13
,Applications of Stokes’ Theorem,the computation of the maximal de Rham cohomology (the space of all forms of maximal degree modulo the subspace of exact forms); some come from Riemannian geometry; and some come from complex manifolds, as in Cauchy’s theorem and the Poincaré residue theorem. I hope that the selection of topics will作者: 針葉類的樹 時間: 2025-3-30 09:42
On a Problem of Mihlin,ill be of interest. The space may also be treated as a vector space by identifying . with the vector joining the origin 0 = (0, ?, 0) with the point .. The rules for addition of vectors and for multiplying them by scalars are the usual ones, and the norm is defined by the formula ..作者: 植物群 時間: 2025-3-30 12:52
Measuring Inequities in Secondary School Attendance: The Probability of Attending Secondary School nce, that urbanicity and departmental variation do matter, and that while girls are more likely to have graduated from primary school, girls who have graduated from primary school are no more likely to be attending secondary school than are boys.
