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G- Structure: Differential Geometry, Manifold, Structure Group, Subbundle -

English
2026-03-19
€156.58 €195.73

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In differential geometry, a G-structure on an n-manifold M, for a given structure group G, is a G-subbundle of the tangent frame bundle FM (or GL(M)) of M. The notion of G-structures includes many other structures on manifolds, some of them being defined by tensor fields. For examp ... Full description

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Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In differential geometry, a G-structure on an n-manifold M, for a given structure group G, is a G-subbundle of the tangent frame bundle FM (or GL(M)) of M. The notion of G-structures includes many other structures on manifolds, some of them being defined by tensor fields. For example, for the orthogonal group, an O(n)-structure defines a Riemannian metric, and for the special linear group an SL(n,R)-structure is the same as a volume form. For the trivial group, an {e}-structure consists of an absolute parallelism of the manifold. Several structures on manifolds, such as a complex structure, a symplectic structure, or a Kähler structure, are G-structures with an additional integrability condition.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131241383
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€156.58 €195.73