Faster access than browser!Similarities between Differential geometry and Symplectic manifold
Differential geometry and Symplectic manifold have 21 things in common (in Unionpedia): Almost complex manifold, Analytical mechanics, Contact geometry, Darboux's theorem, Degenerate bilinear form, Diffeomorphism, Differential equation, Differential form, Exterior derivative, Hamiltonian mechanics, Hermitian manifold, Kähler manifold, Lie derivative, Mathematics, Metric tensor, Phase space, Skew-symmetric matrix, Symplectic geometry, Symplectomorphism, Vector field, Volume form.
Almost complex manifold
In mathematics, an almost complex manifold is a smooth manifold equipped with a smooth linear complex structure on each tangent space.
Almost complex manifold and Differential geometry · Almost complex manifold and Symplectic manifold ·
Analytical mechanics
In theoretical physics and mathematical physics, analytical mechanics, or theoretical mechanics is a collection of closely related alternative formulations of classical mechanics.
Analytical mechanics and Differential geometry · Analytical mechanics and Symplectic manifold ·
Contact geometry
In mathematics, contact geometry is the study of a geometric structure on smooth manifolds given by a hyperplane distribution in the tangent bundle satisfying a condition called 'complete non-integrability'.
Contact geometry and Differential geometry · Contact geometry and Symplectic manifold ·
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 Symplectic manifold ·
Degenerate bilinear form
In mathematics, specifically linear algebra, a degenerate bilinear form on a vector space V is a bilinear form such that the map from V to V∗ (the dual space of V) given by is not an isomorphism.
Degenerate bilinear form and Differential geometry · Degenerate bilinear form and Symplectic manifold ·
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
Diffeomorphism and Differential geometry · Diffeomorphism and Symplectic manifold ·
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
Differential equation and Differential geometry · Differential equation and Symplectic manifold ·
Differential form
In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates.
Differential form and Differential geometry · Differential form and Symplectic manifold ·
Exterior derivative
On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree.
Differential geometry and Exterior derivative · Exterior derivative and Symplectic manifold ·
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 Symplectic manifold ·
Hermitian manifold
In mathematics, and more specifically in differential geometry, a Hermitian manifold is the complex analogue of a Riemannian manifold.
Differential geometry and Hermitian manifold · Hermitian manifold and Symplectic manifold ·
Kähler manifold
In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure.
Differential geometry and Kähler manifold · Kähler manifold and Symplectic manifold ·
Lie derivative
In differential geometry, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including scalar function, vector field and one-form), along the flow defined by another vector field.
Differential geometry and Lie derivative · Lie derivative and Symplectic manifold ·
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 Symplectic manifold ·
Metric tensor
In the mathematical field of differential geometry, a metric tensor is a type of function which takes as input a pair of tangent vectors and at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space.
Differential geometry and Metric tensor · Metric tensor and Symplectic manifold ·
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 Symplectic manifold ·
Skew-symmetric matrix
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative; that is, it satisfies the condition In terms of the entries of the matrix, if aij denotes the entry in the and; i.e.,, then the skew-symmetric condition is For example, the following matrix is skew-symmetric: 0 & 2 & -1 \\ -2 & 0 & -4 \\ 1 & 4 & 0\end.
Differential geometry and Skew-symmetric matrix · Skew-symmetric matrix and Symplectic manifold ·
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 Symplectic manifold ·
Symplectomorphism
In mathematics, a symplectomorphism or symplectic map is an isomorphism in the category of symplectic manifolds.
Differential geometry and Symplectomorphism · Symplectic manifold and Symplectomorphism ·
Vector field
In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.
Differential geometry and Vector field · Symplectic manifold and Vector field ·
Volume form
In mathematics, a volume form on a differentiable manifold is a top-dimensional form (i.e., a differential form of top degree).
Differential geometry and Volume form · Symplectic manifold and Volume form ·
The list above answers the following questions
- What Differential geometry and Symplectic manifold have in common
- What are the similarities between Differential geometry and Symplectic manifold
Differential geometry and Symplectic manifold Comparison
Differential geometry has 141 relations, while Symplectic manifold has 65. As they have in common 21, the Jaccard index is 10.19% = 21 / (141 + 65).
References
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