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In mathematics , an isometry is a distance -preserving map between metric spaces . an isometry is a transformation which maps elements to
Kaynak: Isometry

In the study of Riemannian geometry in mathematics , a local isometry from one (pseudo -)Riemannian manifold to another is a map which
Kaynak: Isometry (Riemannian geometry)

In mathematics , the isometry group of a metric space is the set of all isometries from the metric space onto itself, with the function
Kaynak: Isometry group

In geometry , a Euclidean plane isometry is an isometry of the Euclidean plane , or more informally, a way of transforming the plane that
Kaynak: Euclidean plane isometry

In mathematics , quasi-isometry is an equivalence relation on metric space s that ignores their small-scale details in favor of their
Kaynak: Quasi-isometry

In mathematical finite group theory, the Dade isometry is an isometry from class functions on a subgroup H with support on a subset K of H
Kaynak: Dade isometry

In mathematics , the Itō isometry, named after Kiyoshi Itō , is a crucial fact about Itō stochastic integrals . One of its main
Kaynak: Itō isometry

In linear algebra , the restricted isometry property characterizes matrices which are nearly orthonormal, at least when operating on sparse
Kaynak: Restricted isometry property

A fixed point of an isometry group is a point that is a fixed point for every isometry in the group. For any isometry group in
Kaynak: Fixed points of isometry groups in Euclidean space

If h is a translation, then its conjugate by an isometry can be described as applying the isometry to the translation: the conjugate of a
Kaynak: Conjugation of isometries in Euclidean space

Isometries: The map f:M 1→M 2 is an isometry if: d_2(f(x),f(y)d_1(x,y)quadmbox for allquad x,yin M_1 Isometries are always injective ; the
Kaynak: Metric space

In geometry , a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly
Kaynak: Point groups in three dimensions

is the group of all isometries under which the object is invariant with composition as the operation. subgroup of the isometry group
Kaynak: Symmetry group

In geometry , a glide reflection is a type of opposite isometry of the Euclidean plane : the combination of a reflection in a line and a
Kaynak: Glide reflection

For example, the isometry of space gives rise to conservation of (linear) momentum , and isometry of time gives rise to conservation
Kaynak: Symmetry (physics)

In mathematics , a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a
Kaynak: Reflection (mathematics)

every eigenvector with eigenvalue 1 is orthogonal to every eigenvector with eigenvalue −1, such an affine involution is an isometry .
Kaynak: Affine involution

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