Faster access than browser!Similarities between Differential geometry and Symplectomorphism
Differential geometry and Symplectomorphism have 12 things in common (in Unionpedia): Darboux's theorem, Diffeomorphism, Hamiltonian mechanics, Isometry, Lie group, Mathematics, Phase space, Riemann curvature tensor, Riemannian manifold, Symplectic geometry, Symplectic manifold, Symplectomorphism.
Darboux's theorem
Darboux's theorem is a theorem in the mathematical field of differential geometry and more specifically differential forms, partially generalizing the Frobenius integration theorem.
Darboux's theorem and Differential geometry · Darboux's theorem and Symplectomorphism ·
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
Diffeomorphism and Differential geometry · Diffeomorphism and Symplectomorphism ·
Hamiltonian mechanics
Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.
Differential geometry and Hamiltonian mechanics · Hamiltonian mechanics and Symplectomorphism ·
Isometry
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.
Differential geometry and Isometry · Isometry and Symplectomorphism ·
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
Differential geometry and Lie group · Lie group and Symplectomorphism ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Differential geometry and Mathematics · Mathematics and Symplectomorphism ·
Phase space
In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.
Differential geometry and Phase space · Phase space and Symplectomorphism ·
Riemann curvature tensor
In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the most common method used to express the curvature of Riemannian manifolds.
Differential geometry and Riemann curvature tensor · Riemann curvature tensor and Symplectomorphism ·
Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
Differential geometry and Riemannian manifold · Riemannian manifold and Symplectomorphism ·
Symplectic geometry
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form.
Differential geometry and Symplectic geometry · Symplectic geometry and Symplectomorphism ·
Symplectic manifold
In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2-form, ω, called the symplectic form.
Differential geometry and Symplectic manifold · Symplectic manifold and Symplectomorphism ·
Symplectomorphism
In mathematics, a symplectomorphism or symplectic map is an isomorphism in the category of symplectic manifolds.
Differential geometry and Symplectomorphism · Symplectomorphism and Symplectomorphism ·
The list above answers the following questions
- What Differential geometry and Symplectomorphism have in common
- What are the similarities between Differential geometry and Symplectomorphism
Differential geometry and Symplectomorphism Comparison
Differential geometry has 141 relations, while Symplectomorphism has 48. As they have in common 12, the Jaccard index is 6.35% = 12 / (141 + 48).
References
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