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Foundations of Differential Geometry is an influential 2-volume mathematics book on differential geometry written by Shoshichi Kobayashi and Katsumi Nomizu. The first volume was published in 1963 and the second in 1969, by Interscience Publishers. Both were published again in 1996 as Wiley Classics Library.

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rdf:type	book
rdfs:label	Foundations of Differential Geometry (en)
rdfs:comment	Foundations of Differential Geometry is an influential 2-volume mathematics book on differential geometry written by Shoshichi Kobayashi and Katsumi Nomizu. The first volume was published in 1963 and the second in 1969, by Interscience Publishers. Both were published again in 1996 as Wiley Classics Library. (en)
sameAs	Foundations of Differential Geometry Foundations of Differential Geometry
dbp:wikiPageUsesTemplate	dbt:Cite_journal dbt:ISBN dbt:Italic_title
Subject	1963 non-fiction books 1969 non-fiction books Mathematics textbooks
gold:hypernym	Book
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Foundations_of_Differential_Geometry?oldid=1048232297&ns=0
Wikipage page ID	36727478 (xsd:integer)
page length (characters) of wiki page	2709 (xsd:nonNegativeInteger)
Wikipage revision ID	1048232297 (xsd:integer)
Link from a Wikipage to another Wikipage	Abstract algebra Bulletin of the AMS Cartan–Hadamard theorem 1963 non-fiction books 1969 non-fiction books Geodesic Geometry Jacobi field James Eells Differential geometry Second fundamental form Characteristic class Chern class Chern–Weil homomorphism Hopf–Rinow theorem Principal bundle Tensor field Complex manifold Connection (mathematics) Holonomy Homogeneous space Morse theory Gauss map Katsumi Nomizu Symmetric space Exercise (mathematics) Fiber bundle Kähler manifold Manifold Textbook Euler class Submanifold Lie group Mathematical Reviews Numerical analysis Pontryagin class Rauch comparison theorem Riemann curvature tensor Riemannian manifold Shoshichi Kobayashi Mathematics textbooks
has abstract	Foundations of Differential Geometry is an influential 2-volume mathematics book on differential geometry written by Shoshichi Kobayashi and Katsumi Nomizu. The first volume was published in 1963 and the second in 1969, by Interscience Publishers. Both were published again in 1996 as Wiley Classics Library. The first volume considers manifolds, fiber bundles, tensor analysis, connections in bundles, and the role of Lie groups. It also covers holonomy, the de Rham decomposition theorem and the Hopf–Rinow theorem. According to the review of James Eells, it has a "fine expositional style" and consists of a "special blend of algebraic, analytic, and geometric concepts". Eells says it is "essentially a textbook (even though there are no exercises)". An advanced text, it has a "pace geared to a [one] term graduate course". The second volume considers submanifolds of Riemannian manifolds, the Gauss map, and the second fundamental form. It continues with geodesics on Riemannian manifolds, Jacobi fields, the Morse index, the Rauch comparison theorems, and the Cartan–Hadamard theorem. Then it ascends to complex manifolds, Kähler manifolds, homogeneous spaces, and symmetric spaces. In a discussion of curvature representation of characteristic classes of principal bundles (Chern–Weil theory), it covers Euler classes, Chern classes, and Pontryagin classes. The second volume also received a favorable review by J. Eells in Mathematical Reviews. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Foundations_of_Differential_Geometry
is Wikipage redirect of	Foundations of differential geometry
is Link from a Wikipage to another Wikipage of	Foundations of differential geometry Frame bundle Normal coordinates Adjoint bundle Canonical connection Cartan–Hadamard theorem Curvature form Curvature of Riemannian manifolds Hypersurface Linear complex structure List of Brown University faculty List of important publications in mathematics Connection (principal bundle) Connection (vector bundle) Covariant derivative Ehresmann connection Hermitian manifold Homogeneous space Katsumi Nomizu Exponential map (Riemannian geometry) Kosmann lift Isotropy representation
is known for of	Katsumi Nomizu
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Foundations_of_Differential_Geometry

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