Concepedia

Injectivity Radius

Injectivity Radius is a geometric invariant in Riemannian geometry that denotes the largest radius for which the exponential map at a point is a diffeomorphism onto its image, thereby characterizing the local injectivity of geodesic coordinates around that point.

88

Publications

3.8K

Citations

133

Authors

80

Institutions

Publications per year

2017–2026

8

Parents

Publications

88

Injectivity theorems in plane and space

Jukka Sarvas · Annales Academiae Scientiarum Fennicae Series A I Mathematica · 1979 · 444 citations · Full text

, , +4

Finiteness Theorems for Riemannian Manifolds

Jeff Cheeger · American Journal of Mathematics · 1970 · 406 citations

, , +14

Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity

Bijan Afsari · Proceedings of the American Mathematical Society · 2010 · 278 citations · Full text

, , +15

$C^\alpha$-compactness for manifolds with Ricci curvature and injectivity radius bounded below

Michael T. Anderson, Jeff Cheeger · Journal of Differential Geometry · 1992 · 157 citations · Full text

, , +8

Collapsing Riemannian manifolds to ones of lower dimensions

Kenji Fukaya · Journal of Differential Geometry · 1987 · 130 citations · Full text

, , +16

1–5 of 88

Authors

133

  1. JC
    Jeff Cheeger

    Courant Institute of Mathematical Sciences, United States

    4 publications · 675 citations

    4

    h-index

  2. TS
    Takashi Sakai

    The University of Osaka, Japan

    2 publications · 52 citations

    2

    h-index

  3. IB
    Ian Biringer

    Boston College, United States

    1 publications · 13 citations

    2

    h-index

  4. YN
    Yair N. Minsky

    Yale University, United States

    2 publications · 175 citations

    2

    h-index

  5. VG
    Vladimir Gutlyanskiî

    Institute of Applied Mathematics and Mechanics, Ukraine

    2 publications · 47 citations

    2

    h-index

1–5 of 133

Institutions

80

  1. University of Helsinki

    Helsinki, Finland

    5 h-index

    7 publications

    556 citations

  2. Princeton University

    Princeton, United States

    4 h-index

    5 publications

    230 citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    3 publications

    90 citations

  4. University of Milano-Bicocca

    Milan, Italy

    2 h-index

    2 publications

    41 citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    111 citations

  6. Institute of Applied Mathematics and Mechanics

    Cherkasy, Ukraine

    2 h-index

    3 publications

    69 citations

  7. University of Genoa

    Genoa, Italy

    2 h-index

    2 publications

    41 citations

  8. Stony Brook University

    Stony Brook, United States

    2 h-index

    2 publications

    72 citations

1–8 of 80

Venues

  1. Journal of Differential Geometry

    10 publications · 592 citations

    10

    h-index

  2. Geometry & Topology

    4 publications · 110 citations

    5

    h-index

  3. Duke Mathematical Journal

    DMJ · 4 publications · 232 citations

    4

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 2 publications · 54 citations

    3

    h-index

  5. Journal of the American Mathematical Society

    JAMS · 3 publications · 206 citations

    3

    h-index

1–5