標(biāo)題: Titlebook: Riemannian Manifolds; An Introduction to C John M. Lee Textbook 19971st edition Springer Science+Business Media New York 1997 Riemannian ge [打印本頁(yè)] 作者: Denial 時(shí)間: 2025-3-21 16:27
書目名稱Riemannian Manifolds影響因子(影響力)
書目名稱Riemannian Manifolds影響因子(影響力)學(xué)科排名
書目名稱Riemannian Manifolds網(wǎng)絡(luò)公開度
書目名稱Riemannian Manifolds網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Riemannian Manifolds被引頻次
書目名稱Riemannian Manifolds被引頻次學(xué)科排名
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書目名稱Riemannian Manifolds年度引用學(xué)科排名
書目名稱Riemannian Manifolds讀者反饋
書目名稱Riemannian Manifolds讀者反饋學(xué)科排名
作者: dry-eye 時(shí)間: 2025-3-21 23:25
Review of Tensors, Manifolds, and Vector Bundles,reviewing the basic definitions and properties of tensors on a finite-dimensional vector space. When we put together spaces of tensors on a manifold, we obtain a particularly useful type of geometric structure called a “vector bundle,” which plays an important role in many of our investigations. Bec作者: EPT 時(shí)間: 2025-3-22 04:10 作者: Admire 時(shí)間: 2025-3-22 05:13 作者: Malfunction 時(shí)間: 2025-3-22 09:16 作者: 紳士 時(shí)間: 2025-3-22 15:48 作者: 性學(xué)院 時(shí)間: 2025-3-22 20:44
Curvature,ocally isometric, we are led to a definition of the Riemannian curvature tensor as a measure of the failure of second covariant derivatives to commute. Then we prove the main result of this chapter: A manifold has zero curvature if and only if it is flat, that is, locally isometric to Euclidean spac作者: 夾克怕包裹 時(shí)間: 2025-3-23 00:43 作者: collagenase 時(shí)間: 2025-3-23 03:34 作者: Fretful 時(shí)間: 2025-3-23 07:22
Curvature and Topology, and topology. Before treating the topological theorems themselves, we prove some comparison theorems for manifolds whose curvature is bounded above. These comparisons are based on a simple ODE comparison theorem due to Sturm, and show that if the curvature is bounded above by a constant, then the m作者: engender 時(shí)間: 2025-3-23 11:51
Riemannian Geodesics,d of .., we describe two properties that determine a unique connection on any Riemannian manifold. The first property, compatibility with the metric, is easy to motivate and understand. The second, symmetry, is a bit more mysterious.作者: narcotic 時(shí)間: 2025-3-23 15:03
Geodesics and Distance,metry of the Riemannian connection. Later in the chapter, we study the property of geodesic completeness, which means that all maximal geodesies are defined for all time, and prove the Hopf-Rinow theorem, which states that a Riemannian manifold is geodesically complete if and only if it is complete as a metric space.作者: 善變 時(shí)間: 2025-3-23 20:50
Curvature and Topology,These comparisons are based on a simple ODE comparison theorem due to Sturm, and show that if the curvature is bounded above by a constant, then the metric in normal coordinates is bounded below by the corresponding constant curvature metric.作者: CHOKE 時(shí)間: 2025-3-24 01:06
Review of Tensors, Manifolds, and Vector Bundles,ause vector bundles are not always treated in beginning manifolds courses, we include a fairly complete discussion of them in this chapter. The chapter ends with an application of these ideas to tensor bundles on manifolds, which are vector bundles constructed from tensor spaces associated with the tangent space at each point.作者: 果仁 時(shí)間: 2025-3-24 06:15
Curvature,e. At the end of the chapter, we derive the basic symmetries of the curvature tensor, and introduce the Ricci and scalar curvatures. The results of this chapter apply essentially unchanged to pseudo-Riemannian metrics.作者: FLOAT 時(shí)間: 2025-3-24 08:10
The Gauss-Bonnet Theorem,iant. Although it applies only in two dimensions, it has provided a model and an inspiration for innumerable local-global results in higher-dimensional geometry, some of which we will prove in Chapter 11.作者: 補(bǔ)助 時(shí)間: 2025-3-24 12:40 作者: larder 時(shí)間: 2025-3-24 15:04 作者: CHART 時(shí)間: 2025-3-24 19:14
Textbook 19971st editionogical and differentiable manifolds. It focuses on developing an intimate acquaintance with the geometric meaning of curvature. In so doing, it introduces and demonstrates the uses of all the main technical tools needed for a careful study of Riemannian manifolds. The author has selected a set of to作者: CT-angiography 時(shí)間: 2025-3-24 23:49
Textbook 19971st editiontitative interpretation. From then on, all efforts are bent toward proving the four most fundamental theorems relating curvature and topology: the Gauss–Bonnet theorem (expressing the total curvature of a surface in term so fits topological type), the Cartan–Hadamard theorem (restricting the topolog作者: 上下連貫 時(shí)間: 2025-3-25 05:03
0072-5285 y: the Gauss–Bonnet theorem (expressing the total curvature of a surface in term so fits topological type), the Cartan–Hadamard theorem (restricting the topolog978-0-387-22726-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: HOWL 時(shí)間: 2025-3-25 08:23
What is Curvature?, geometry is concerned with properties such as distances, lengths, angles, areas, volumes, and curvature. These concepts, however, are barely mentioned in typical beginning graduate courses in differential geometry; instead, such courses are concerned with smooth structures, flows, tensors, and differential forms.作者: 小教堂 時(shí)間: 2025-3-25 12:01
Definitions and Examples of Riemannian Metrics,we introduce three classes of highly symmetric “model” Riemannian manifolds—Euclidean spaces, spheres, and hyperbolic spaces—to which we will return repeatedly as our understanding deepens and our tools become more sophisticated.作者: 反感 時(shí)間: 2025-3-25 17:33
Connections,o define geodesies as curves that minimize length, at least between nearby points. However, this property turns out to be technically difficult to work with as a definition, so instead we’ll choose a different property of straight lines and generalize that.作者: 不要不誠(chéng)實(shí) 時(shí)間: 2025-3-25 22:54
Graduate Texts in Mathematicshttp://image.papertrans.cn/r/image/830319.jpg作者: Bereavement 時(shí)間: 2025-3-26 02:16 作者: Malleable 時(shí)間: 2025-3-26 07:18 作者: 殺死 時(shí)間: 2025-3-26 08:45
Riemannian Manifolds978-0-387-22726-9Series ISSN 0072-5285 Series E-ISSN 2197-5612 作者: 說(shuō)明 時(shí)間: 2025-3-26 14:21 作者: Coeval 時(shí)間: 2025-3-26 16:51
Peter Vervoort,Ann Pisman,Frédéric Vandermoere,Ilse LootsMM was sited in Australia. The Australian conference theme reflected the country’s cultural heritage, both recent and past – Exchange and Experience in Space and Place. Of the many papers submitted under this theme we were able to identify three core sub-themes: Virtual Heritage, Applied Technologie作者: Parallel 時(shí)間: 2025-3-27 00:33 作者: 儲(chǔ)備 時(shí)間: 2025-3-27 04:04 作者: FAWN 時(shí)間: 2025-3-27 07:19 作者: AGATE 時(shí)間: 2025-3-27 13:15 作者: Grievance 時(shí)間: 2025-3-27 13:56 作者: spinal-stenosis 時(shí)間: 2025-3-27 18:04
Correspondence and Contradiction: Functions and Interactions of Spoken and Body Languagegation is based on methods from cognitive linguistics, embodiment and polyvagal theory, and kinesics, and includes questions about Latin American intercultural contacts. Old survival strategies are still present today in our verbal and body language. Two examples are analyzed to show the intertwinin作者: PSA-velocity 時(shí)間: 2025-3-28 00:03
Cancer of the Temporal Bone,n the fifth and sixth decades. Diagnosis of patients with temporal bone cancers (TBCs) is often delayed, as early symptoms are often ascribed to the much more common otitis media or externa [1]. This delay is likely to have a detrimental effect on treatment and outcome.作者: Heart-Attack 時(shí)間: 2025-3-28 02:17
Fronto-orbito-zygomatic (FOZ) Approach removal of the pathology. This approach is recommended for handling complex skull base tumors or vascular lesions located around the central skull base, cavernous sinus and upper clivus. The manuscript highlights detailed information about (FOZ) approach and how to master it.作者: 旋轉(zhuǎn)一周 時(shí)間: 2025-3-28 06:39 作者: motor-unit 時(shí)間: 2025-3-28 12:33 作者: 愛社交 時(shí)間: 2025-3-28 15:08 作者: Tinea-Capitis 時(shí)間: 2025-3-28 22:35
Predicting the Usage of Scientific Datasets Based on Article, Author, Institution, and Journal Bibli a long but focused body of references are associated with more dataset downloads. We also show that prediction performance decays rapidly the farther we estimate downloads into the future. Finally, we discuss the implications of our work for reproducibility and data policies.作者: braggadocio 時(shí)間: 2025-3-29 02:54 作者: 否認(rèn) 時(shí)間: 2025-3-29 05:29
Ingrid K?stner the dynamic parameters of the ancient mill is described. With this analysis, the restoration of antique artifacts incorporates actual loading conditions based on engineering data. Miners in the old days kept few documents, and the data restoration has required the analysis of information obtained f作者: Tinea-Capitis 時(shí)間: 2025-3-29 09:18
ssierten Fachkreisen ein Hilfsmittel für weitere konnten. Im zweiten Band wurde die Reihe der Klima- geo?kologische Forschungen zur Verfügung stellen. karten für den afrikanischen Kontinent durch karto- Die bisher ver?ffentlichten Klimakarten, die für die graphische Darstellungen der Regenzeiten und der Trok-978-3-662-13418-4作者: 仇恨 時(shí)間: 2025-3-29 13:20
G. Hack,M. Marx,F. Witassek,H. Vetterpeln nicht! Innovation muss incentiviert werden und nicht (nur) Umsatz! Das Buch zeigt darüber hinaus die h?ufigsten 30 Digitalfallen – und wie die LeserInnen diese umgehen. Damit sie auch im d978-3-658-27189-3978-3-658-27190-9Series ISSN 2730-6941 Series E-ISSN 2730-695X
