Titlebook: Riemannian Geometry and Geometric Analysis; Jürgen Jost Textbook 19951st edition Springer-Verlag Berlin Heidelberg 1995 Harmonische Abbild

拖累

書目名稱Riemannian Geometry and Geometric Analysis影響因子(影響力)




書目名稱Riemannian Geometry and Geometric Analysis影響因子(影響力)學(xué)科排名




書目名稱Riemannian Geometry and Geometric Analysis網(wǎng)絡(luò)公開度




書目名稱Riemannian Geometry and Geometric Analysis網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Riemannian Geometry and Geometric Analysis被引頻次




書目名稱Riemannian Geometry and Geometric Analysis被引頻次學(xué)科排名




書目名稱Riemannian Geometry and Geometric Analysis年度引用




書目名稱Riemannian Geometry and Geometric Analysis年度引用學(xué)科排名




書目名稱Riemannian Geometry and Geometric Analysis讀者反饋




書目名稱Riemannian Geometry and Geometric Analysis讀者反饋學(xué)科排名

移植

Morse Theory and Closed Geodesics,metry, B. Riemann also expressed the idea that a manifold can be reconstructed from the level hypersurfaces of a continuous function. If the function is not only continuous, but also differentiable, all such hyper-surfaces that do not contain any critical points of the function are regular, i.e. emb

itinerary

Geodesics and Jacobi Fields, defined tangent spaces at .. Thus, in a double point of .(.), the tangent space can be specified by specifying the preimage (. or .). This can be formalized as follows: We consider the bundle .*(.) over ., pulled back by .. The fiber over . ∈ . here is ....

Anticonvulsants

山崩

匯總

0172-5939 geometric and analytic methods in the study of Riemannian manifolds. In the first chapter, we introduce the basic geometric concepts, like dif- ferentiable manifolds, tangent spaces, vector bundles, vector fields and one- parameter groups of diffeomorphisms, Lie algebras and groups and in par- ticul

infinite

ODIUM

0172-5939 heir results will be used in the remaining, more advanced chapters that are essentially independent of each other. In the fifth chapter, we develop Morse theory978-3-662-03118-6Series ISSN 0172-5939 Series E-ISSN 2191-6675

GENUS

Fatten

https://doi.org/10.1007/978-3-662-03118-6Harmonische Abbildungen; Hodge theorem; Levi-Civita connection; Lovi-Civita-Zusammenhang; Minimalfl?chen