Found 45 Documents (Results 1–45)
Finite volume scheme and renormalized solutions for nonlinear elliptic Neumann problem with \(L^1\) data. (English) Zbl 07901435
Comparison between conformal invariants for conformally compact Einstein metrics: some counter-example from the metrics developed by Pedersen. (English) Zbl 07809620
The Weil-Petersson gradient flow of renormalized volume and 3-dimensional convex cores. (English) Zbl 1537.32040
The renormalized volume of a \(4\)-dimensional Ricci-flat ALE space. (English) Zbl 1518.53036
Reviewer: Jørgen Olsen Lye (Hannover)
Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary. (English) Zbl 07673326
Renormalized volume of minimally bounded regions in asymptotically hyperbolic Einstein spaces. (English) Zbl 1533.53040
Reviewer: Andrea Tamburelli (Houston)
Volumes of quasifuchsian manifolds. (English) Zbl 1522.57049
Agol, Ian (ed.) et al., Surveys in 3-manifold topology and geometry. Somerville, MA: International Press. Surv. Differ. Geom. 25, 319-353 (2022).
Reviewer: Sergiu Moroianu (Bucureşti)
Residue families, singular Yamabe problems and extrinsic conformal Laplacians. (English) Zbl 1504.35149
Reviewer: Andreas Vollmer (Hamburg)
A sharp isoperimetric property of the renormalized area of a minimal surface in hyperbolic space. (English) Zbl 1503.53015
Reviewer: Dorin Andrica (Riyadh)
Chern-Gauss-Bonnet formula for singular Yamabe metrics in dimension four. (English) Zbl 1495.53055
Reviewer: Krishnan Shankar (Norman)
Ricci flow and volume renormalizability. (English) Zbl 1427.53108
MSC:
53E20
Renormalized volumes with boundary. (English) Zbl 1430.53049
Reviewer: Andreas Arvanitoyeorgos (Patras)
On the renormalized volume of tubes over polarized Kähler-Einstein manifolds. (English) Zbl 1475.32021
Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale)
Renormalized volume and the volume of the convex core. (Volume renormalisé et volume du cœur convexe.) (English. French summary) Zbl 1404.57031
Reviewer: Hongbin Sun (Piscataway)
Renormalized volume on the Teichmüller space of punctured surfaces. (English) Zbl 1386.30049
Reviewer: Ewa Kozłowska-Walania (Gdańsk)
Convexity of the renormalized volume of hyperbolic 3-manifolds. (English) Zbl 1379.53059
Reviewer: Ioan Pop (Iaşi)
A weighted renormalized curvature for manifolds with density. (English) Zbl 1368.53032
Reviewer: Dumitru Motreanu (Perpignan)
Finite volume scheme and renormalized solutions for a noncoercive elliptic problem with \(L^{1}\) data. (English) Zbl 1355.65142
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces. (English) Zbl 1353.14044
Reviewer: V. V. Chueshev (Kemerovo)
Positivity of the renormalized volume of almost-Fuchsian hyperbolic 3-manifolds. (English) Zbl 1338.30039
MSC:
30F60
A non-standard numerical approach to the solution of some second-order ordinary differential equations. (English) Zbl 1341.65028
Minimal surfaces and symplectic structures of moduli spaces. (English) Zbl 1323.53091
Reviewer: Simona Druta-Romaniuc (Iaşi)
The renormalized volume and the volume of the convex core of quasifuchsian manifolds. (English) Zbl 1295.30101
Reviewer: Toshihiro Nakanishi (Matsue)
The Weil-Petersson metric and the renormalized volume of hyperbolic 3-manifolds. (English) Zbl 1256.30001
Papadopoulos, Athanase (ed.), Handbook of Teichmüller theory. Volume III. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-103-3/hbk). IRMA Lectures in Mathematics and Theoretical Physics 17, 779-819 (2012).
Renormalized weighted volume and conformal fractional Laplacians. (English) Zbl 1250.53036
Reviewer: Constantin Călin (Iaşi)
Convergence analysis of the upwind finite volume scheme for general transport problems. (English) Zbl 1246.76068
Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 155-163 (2011).
The second variational formula for the functional \(\int v^{(6)}(g)dV_{g}\). (English) Zbl 1220.53045
Reviewer: Themistocles M. Rassias (Athens)
The decomposition of global conformal invariants: some technical proofs. I. (English) Zbl 1218.53038
On Branson’s \(Q\)-curvature of order eight. (English) Zbl 1229.53018
Reviewer: Andreas Cap (Wien)
A symplectic map between hyperbolic and complex Teichmüller theory. (English) Zbl 1206.30058
Reviewer: Athanase Papadopoulos (Strasbourg)
Extended obstruction tensors and renormalized volume coefficients. (English) Zbl 1161.53062
MSC:
53C50
The \(Q\)-curvature equation in conformal geometry. (English) Zbl 1182.53032
Hijazi, Oussama (ed.), Géométrie différentielle, physique mathématique, mathématiques et société (II). Volume en l’honneur de Jean Pierre Bourguignon. Paris: Société Mathématique de France (ISBN 978-2-85629-259-4/pbk). Astérisque 322, 23-38 (2008).
Reviewer: John Urbas (Canberra)
A renormalized index theorem for some complete asymptotically regular metrics: the Gauss-Bonnet theorem. (English) Zbl 1195.58008
Reviewer: Sergiu Moroianu (Bucureşti)
A remark on renormalized volume and Euler characteristic for ACHE 4-manifolds. (English) Zbl 1129.53027
Reviewer: Shanyu Ji (Houston)
On the topology of conformally compact Einstein 4-mainfolds. (English) Zbl 1078.53031
Bahri, Abbas (ed.) et al., Noncompact problems at the intersection of geometry, analysis, and topology. Proceedings of the conference on noncompact variational problems and general relativity held in honor of Haim Brezis and Felix Browder at Rutgers University, New Brunswick, NJ, USA, October 14–18, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3635-8/pbk). Contemporary Mathematics 350, 49-61 (2004).
Reviewer: Jarek Kedra (Aberdeen)
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