Mersenne banner

Actes des rencontres du CIRM

Browse issues
or
  • All
  • Author
  • Title
  • References
  • Full text
NOT
Between and
  • All
  • Author
  • Title
  • Date
  • References
  • Full text
  • Previous
  • Browse issues
  • Volume 3 (2013)
  • no. 1
  • p. 151-157
  • Next
no. 1
Variational properties of the discrete Hilbert-Einstein functional
Ivan Izmestiev1
1 Institut für Mathematik, Freie Universität Berlin, Arnimallee 2, 14195 Berlin
Actes des rencontres du CIRM, Volume 3 (2013) no. 1, pp. 151-157.
  • Article information
  • Export
  • How to cite
Published online: 2014-11-12
Zbl: 06938612
DOI: 10.5802/acirm.64
Author's affiliations:
Ivan Izmestiev 1

1 Institut für Mathematik, Freie Universität Berlin, Arnimallee 2, 14195 Berlin
  • BibTeX
  • RIS
  • EndNote
@article{ACIRM_2013__3_1_151_0,
     author = {Ivan Izmestiev},
     title = {Variational properties of the discrete {Hilbert-Einstein} functional},
     journal = {Actes des rencontres du CIRM},
     pages = {151--157},
     publisher = {CIRM},
     volume = {3},
     number = {1},
     year = {2013},
     doi = {10.5802/acirm.64},
     zbl = {06938612},
     language = {en},
     url = {https://acirm.centre-mersenne.org/articles/10.5802/acirm.64/}
}
TY  - JOUR
TI  - Variational properties of the discrete Hilbert-Einstein functional
JO  - Actes des rencontres du CIRM
PY  - 2013
DA  - 2013///
SP  - 151
EP  - 157
VL  - 3
IS  - 1
PB  - CIRM
UR  - https://acirm.centre-mersenne.org/articles/10.5802/acirm.64/
UR  - https://zbmath.org/?q=an%3A06938612
UR  - https://doi.org/10.5802/acirm.64
DO  - 10.5802/acirm.64
LA  - en
ID  - ACIRM_2013__3_1_151_0
ER  - 
%0 Journal Article
%T Variational properties of the discrete Hilbert-Einstein functional
%J Actes des rencontres du CIRM
%D 2013
%P 151-157
%V 3
%N 1
%I CIRM
%U https://doi.org/10.5802/acirm.64
%R 10.5802/acirm.64
%G en
%F ACIRM_2013__3_1_151_0
Ivan Izmestiev. Variational properties of the discrete Hilbert-Einstein functional. Actes des rencontres du CIRM, Volume 3 (2013) no. 1, pp. 151-157. doi : 10.5802/acirm.64. https://acirm.centre-mersenne.org/articles/10.5802/acirm.64/
  • References
  • Cited by

[1] Alexander D. Alexandrov Existence of a convex polyhedron and of a convex surface with a given metric, Mat. Sbornik, N. Ser., Volume 11(53) (1942), pp. 15-65 (Russian. English summary)

[2] Michael T. Anderson Scalar curvature and the existence of geometric structures on 3-manifolds. I, J. Reine Angew. Math., Volume 553 (2002), pp. 125-182 | Article | MR: 1944810 | Zbl: 1023.53020

[3] Michael T. Anderson Scalar curvature and the existence of geometric structures on 3-manifolds. II, J. Reine Angew. Math., Volume 563 (2003), pp. 115-195 | Article | MR: 2009241 | Zbl: 1066.53061

[4] Arthur L. Besse Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 10, Springer-Verlag, Berlin, 1987, xii+510 pages | MR: 867684 | Zbl: 0613.53001

[5] Wilhelm Blaschke; Gustav Herglotz Über die Verwirklichung einer geschlossenen Fläche mit vorgeschriebenem Bogenelement im Euklidischen Raum, Sitzungsber. Bayer. Akad. Wiss., Math.-Naturwiss. Abt., Volume No.2 (1937), p. 229-230 | Zbl: 0018.23501

[6] Alexander I. Bobenko; Ivan Izmestiev Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes, Ann. Inst. Fourier (Grenoble), Volume 58 (2008) no. 2, pp. 447-505 | Article | Numdam | MR: 2410380 | Zbl: 1154.52005

[7] Eugenio Calabi On compact, Riemannian manifolds with constant curvature. I, Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 155-180 | Article | Zbl: 0129.14102

[8] Jeff Cheeger; Werner Müller; Robert Schrader On the curvature of piecewise flat spaces, Comm. Math. Phys., Volume 92 (1984) no. 3, pp. 405-454 | Article | MR: 734226 | Zbl: 0559.53028

[9] Daryl Cooper; Igor Rivin Combinatorial scalar curvature and rigidity of ball packings, Math. Res. Lett., Volume 3 (1996) no. 1, pp. 51-60 | Article | MR: 1393382 | Zbl: 0868.51023

[10] François Fillastre; Ivan Izmestiev Hyperbolic cusps with convex polyhedral boundary, Geom. Topol., Volume 13 (2009) no. 1, pp. 457-492 | Article | MR: 2469522 | Zbl: 1179.57026

[11] David Glickenstein Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds, J. Differential Geom., Volume 87 (2011) no. 2, pp. 201-237 http://projecteuclid.org/getRecord?id=euclid.jdg/1304514973 | MR: 2788656 | Zbl: 1243.52014

[12] Ivan Izmestiev The Colin de Verdière number and graphs of polytopes, Israel J. Math., Volume 178 (2010), pp. 427-444 | Article | MR: 2733076 | Zbl: 1298.05204

[13] Ivan Izmestiev Examples of infinitesimally flexible 3–dimensional hyperbolic cone-manifolds, J. Math. Soc. Japan, Volume 63 (2011) no. 2, pp. 581-598 | MR: 2793111 | Zbl: 1221.57029

[14] Ivan Izmestiev Infinitesimal rigidity of convex polyhedra through the second derivative of the Hilbert-Einstein functional, Canad. J. Math., Volume 66 (2014) no. 4, pp. 783-825 | Article | MR: 3224265 | Zbl: 1303.52012

[15] Ivan Izmestiev; Jean-Marc Schlenker Infinitesimal rigidity of polyhedra with vertices in convex position, Pacific J. Math., Volume 248 (2010) no. 1, pp. 171-190 | Article | MR: 2734170 | Zbl: 1200.52014

[16] Norihito Koiso Nondeformability of Einstein metrics, Osaka J. Math., Volume 15 (1978) no. 2, pp. 419-433 http://projecteuclid.org/getRecord?id=euclid.ojm/1200771282 | MR: 504300 | Zbl: 0392.53030

[17] Rafe Mazzeo; Grégoire Montcouquiol Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra, J. Differential Geom., Volume 87 (2011) no. 3, pp. 525-576 http://projecteuclid.org/getRecord?id=euclid.jdg/1312998235 | MR: 2819548 | Zbl: 1234.53014

[18] Tullio Regge General relativity without coordinates, Nuovo Cimento, Volume 19 (1961), pp. 558-571 | Article | MR: 127372

[19] Stefan Sechelmann Alexandrov’s Polyhedron Editor, Java Web Start application (http://page.math.tu-berlin.de/ sechel/webstart/AlexandrovPolyhedron.jnlp)

[20] André Weil On discrete subgroups of Lie groups, Ann. of Math. (2), Volume 72 (1960), pp. 369-384 | Article | MR: 137792

[21] Hartmut Weiss The deformation theory of hyperbolic cone-3-manifolds with cone-angles less than 2π, Geom. Topol., Volume 17 (2013), 329–367 pages | MR: 3035330 | Zbl: 1262.53032

[22] Hidehiko Yamabe On a deformation of Riemannian structures on compact manifolds, Osaka Math. J., Volume 12 (1960), pp. 21-37 | MR: 125546 | Zbl: 0096.37201

Cited by Sources:

Web publisher : Published by : Developed by :
  • Follow us
e-ISSN : 2105-0597
© 2009 - 2022 Centre Mersenne, Actes des rencontres du CIRM, and the authors