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Differential form and Gromov's inequality for complex projective space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Differential form and Gromov's inequality for complex projective space

Differential form vs. Gromov's inequality for complex projective space

In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. In Riemannian geometry, Gromov's optimal stable 2-systolic inequality is the inequality \;\mathrm_(\mathbb^n), valid for an arbitrary Riemannian metric on the complex projective space, where the optimal bound is attained by the symmetric Fubini–Study metric, providing a natural geometrisation of quantum mechanics.

Similarities between Differential form and Gromov's inequality for complex projective space

Differential form and Gromov's inequality for complex projective space have 2 things in common (in Unionpedia): Systolic geometry, Wirtinger inequality (2-forms).

Systolic geometry

In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed by Mikhail Gromov, Michael Freedman, Peter Sarnak, Mikhail Katz, Larry Guth, and others, in its arithmetical, ergodic, and topological manifestations.

Differential form and Systolic geometry · Gromov's inequality for complex projective space and Systolic geometry · See more »

Wirtinger inequality (2-forms)

In mathematics, the Wirtinger inequality for 2-forms, named after Wilhelm Wirtinger, states that on a Kähler manifold M, the exterior kth power of the symplectic form (Kähler form) ω, when evaluated on a simple (decomposable) (2k)-vector ζ of unit volume, is bounded above by k!.

Differential form and Wirtinger inequality (2-forms) · Gromov's inequality for complex projective space and Wirtinger inequality (2-forms) · See more »

The list above answers the following questions

Differential form and Gromov's inequality for complex projective space Comparison

Differential form has 118 relations, while Gromov's inequality for complex projective space has 13. As they have in common 2, the Jaccard index is 1.53% = 2 / (118 + 13).

References

This article shows the relationship between Differential form and Gromov's inequality for complex projective space. To access each article from which the information was extracted, please visit:

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