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searching for Bundle metric 5 found (15 total)

Laplace operators in differential geometry (1,101 words) [view diff] exact match in snippet view article find links to article

tensors metric induced metric and connection negative Bochner any vector bundle metric fiber metric, compatible connection positive Lichnerowicz symmetric

Kaluza–Klein theory (7,271 words) [view diff] exact match in snippet view article find links to article

fiber, one can construct a bundle metric defined on the entire bundle. Computing the scalar curvature of this bundle metric, one finds that it is constant

Vector bundle (4,089 words) [view diff] exact match in snippet view article find links to article

structure. For instance, vector bundles may be equipped with a vector bundle metric. Usually this metric is required to be positive definite, in which case

Tian Gang (3,114 words) [view diff] exact match in snippet view article find links to article

Let L be a line bundle over a Kähler manifold M, and fix a hermitian bundle metric whose curvature form is a Kähler form on M. Suppose that for sufficiently

Kähler–Einstein metric (4,231 words) [view diff] exact match in snippet view article find links to article

however, the geometry of the Kähler manifold is often fixed and only the bundle metric is allowed to vary, and this causes the Hermite–Einstein equation to