Titlebook: Riemannian Geometry; Sylvestre Gallot,Dominique Hulin,Jacques Lafontain Textbook 19902nd edition Springer-Verlag Berlin Heidelberg 1990 Mi

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書目名稱Riemannian Geometry影響因子(影響力)




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




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




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




書目名稱Riemannian Geometry被引頻次




書目名稱Riemannian Geometry被引頻次學(xué)科排名




書目名稱Riemannian Geometry年度引用




書目名稱Riemannian Geometry年度引用學(xué)科排名




書目名稱Riemannian Geometry讀者反饋




書目名稱Riemannian Geometry讀者反饋學(xué)科排名

魔鬼在游行

Analysis on Manifolds and the Ricci Curvature, the properties of the Laplacian on a bounded Euclidean domain and on a compact Riemannian manifold are very similar, and so are the techniques of proofs. We can say that the difficulties of the latter case, compared with the former, are essentially conceptual.

為敵

Textbook 19902nd editionry. Also, we present a -soft-proof of the Paul Levy-Gromov isoperimetric inequal- ity, kindly communicated by G. Besson. Several people helped us to find bugs in the. first edition. They are not responsible for the persisting ones! Among them, we particularly thank Pierre Arnoux and Stefano Marchiaf

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Gingivitis

Analysis on Manifolds and the Ricci Curvature, the properties of the Laplacian on a bounded Euclidean domain and on a compact Riemannian manifold are very similar, and so are the techniques of proofs. We can say that the difficulties of the latter case, compared with the former, are essentially conceptual.

HEDGE

Springer-Verlag Berlin Heidelberg 1990

GROUP

蛛絲

Riemannian Metrics,The Pythagorus theorem just says that the squared length of an infinitesimal vector, say in .., whose components are . and ., is .. + .. + ... Thus, the length of a parameterized curve .(.) = (.(.), .(.), .(.)) is given by the integral ..

FLEET

Curvature,A parallel vector field in .. is just a constant field. Now, on a surface, there are generally no (even local) parallel vector fields. How much the parallel transport of a field along a small closed curve differ from the identity is measured in terms of the curvature of the surface, a function .: . → ..