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$T^{\ast}T$ unitary then $T$ isometry

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#functional-analysis #operator-theory #inner-products #adjoint-operators #isometry
231
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Exists a discrete Euclidean isometry group that's not finitely generated?

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#group-theory #euclidean-geometry #isometry #finitely-generated
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Are inner product-preserving maps always linear?

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#linear-algebra #functional-analysis #linear-transformations #isometry
50
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Iteration of a parabolic transformation

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#hyperbolic-geometry #isometry
78
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Show that if x and y are of same length, there must exist an isometry with f(x) = y

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#linear-algebra #metric-spaces #isometry
638
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Any symmetry that fixes three non-collinear points is the identity

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#geometry #euclidean-geometry #isometry
53
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Three points fixed by the composition of an two isometries

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#euclidean-geometry #isometry
686
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Which properties preserve by isometry?

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#differential-geometry #curvature #isometry
56
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How to show that there are exactly two motions mapping $P\to P'$ and $Q\to Q'$ given that $d(P,Q)=d(P',Q')$

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#geometry #euclidean-geometry #isometry
31
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Isometric embedding probability distributions with tree transportation cost into $\ell_1$

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#probability-distributions #metric-spaces #trees #isometry
121
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Surjective differentiable map is an isometry

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#differential-geometry #riemannian-geometry #hyperbolic-geometry #isometry
575
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Why the isometry group is not the orthogonal group?

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#linear-algebra #group-theory #isometry
122
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What is an example of two non isometric closed balls of same radius?

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#metric-spaces #isometry
300
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Inversion as hyperbolic isometry (Poincaré disk model).

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#hyperbolic-geometry #isometry
77
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Isometries on a Banach space converging pointwise

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#functional-analysis #banach-spaces #isometry

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