Fundamental group and Mostow rigidity theorem

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Difference between Fundamental group and Mostow rigidity theorem

Fundamental group vs. Mostow rigidity theorem

In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other. In mathematics, Mostow's rigidity theorem, or strong rigidity theorem, or Mostow–Prasad rigidity theorem, essentially states that the geometry of a complete, finite-volume hyperbolic manifold of dimension greater than two is determined by the fundamental group and hence unique.

Similarities between Fundamental group and Mostow rigidity theorem

Fundamental group and Mostow rigidity theorem have 6 things in common (in Unionpedia): Annals of Mathematics, Homotopy, Isomorphism, Mathematics, Springer Science+Business Media, Symmetric space.

Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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Homotopy

In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.

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Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Symmetric space

In differential geometry, representation theory and harmonic analysis, a symmetric space is a pseudo-Riemannian manifold whose group of symmetries contains an inversion symmetry about every point.

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The list above answers the following questions

What Fundamental group and Mostow rigidity theorem have in common
What are the similarities between Fundamental group and Mostow rigidity theorem

Fundamental group and Mostow rigidity theorem Comparison

Fundamental group has 119 relations, while Mostow rigidity theorem has 29. As they have in common 6, the Jaccard index is 4.05% = 6 / (119 + 29).

References

This article shows the relationship between Fundamental group and Mostow rigidity theorem. To access each article from which the information was extracted, please visit:

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