Sasahara, Tooru Legendre surfaces whose mean curvature vectors are eigenvectors of the Laplace operator. (English) Zbl 1195.53086 Note Mat. 22(2003-2004), No. 1, 49-58 (2004). MSC: 53C42 53B25 PDFBibTeX XMLCite \textit{T. Sasahara}, Note Mat. 22, No. 1, 49--58 (2002; Zbl 1195.53086) Full Text: DOI
García, Alicia N.; Hulett, Eduardo G. On homogeneous hypersurfaces in the manifold of quaternionic subalgebras of the Cayley algebra. (English) Zbl 1171.53322 Note Mat. 21(2002-2003), No. 2, 119-133 (2003). MSC: 53C30 53C35 53C42 PDFBibTeX XMLCite \textit{A. N. García} and \textit{E. G. Hulett}, Note Mat. 21, No. 2, 119--133 (2002; Zbl 1171.53322) Full Text: DOI
Chen, Bang-Yen Ricci curvature of real hypersurfaces in complex hyperbolic space. (English) Zbl 1087.53052 Arch. Math., Brno 38, No. 1, 73-80 (2002). Reviewer: Josef Janyška (Brno) MSC: 53C40 53C42 53B25 PDFBibTeX XMLCite \textit{B.-Y. Chen}, Arch. Math., Brno 38, No. 1, 73--80 (2002; Zbl 1087.53052) Full Text: EuDML EMIS
Gilkey, Peter; Ivanova, Raina The Jordan normal form of higher order Osserman algebraic curvature tensors. (English) Zbl 1090.53022 Commentat. Math. Univ. Carol. 43, No. 2, 231-242 (2002). MSC: 53B20 PDFBibTeX XMLCite \textit{P. Gilkey} and \textit{R. Ivanova}, Commentat. Math. Univ. Carol. 43, No. 2, 231--242 (2002; Zbl 1090.53022) Full Text: arXiv EuDML EMIS
Stolz, Stephan Manifolds of positive scalar curvature. (English) Zbl 1083.53036 Farrell, F.Thomas (ed.) et al., Topology of high-dimensional manifolds. Proceedings of the school on high-dimensional manifold topology, Abdus Salam ICTP, Trieste, Italy, May 21–June 8, 2001. Number 1 and 2. Trieste: The Abdus Salam International Centre for Theoretical Physics (ISBN 92-95003-12-8/pbk). ICTP Lect. Notes 9, 661-709 (2002). Reviewer: George F. Nassopoulos (Athens) MSC: 53C20 57N16 PDFBibTeX XMLCite \textit{S. Stolz}, ICTP Lect. Notes 9, 661--709 (2002; Zbl 1083.53036)
Schick, Thomas Operator algebras and topology. (English) Zbl 1072.46516 Farrell, F. Thomas (ed.) et al., Topology of high-dimensional manifolds. Proceedings of the school on high-dimensional manifold topology, Abdus Salam ICTP, Trieste, Italy, May 21–June 8, 2001. Number 1 and 2. Trieste: The Abdus Salam International Centre for Theoretical Physics (ISBN 92-95003-12-8/pbk). ICTP Lect. Notes 9, 571-660 (2002). MSC: 46L85 55N35 46L80 19K35 53C21 58J22 19K56 57R57 PDFBibTeX XMLCite \textit{T. Schick}, ICTP Lect. Notes 9, 571--660 (2002; Zbl 1072.46516) Full Text: arXiv
Boja, Nicolae On the volume formula of an \(\varepsilon\)-absolutely thin tube. (English) Zbl 1052.53007 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 47(61), No. 1, 35-38 (2002). MSC: 53A05 53B20 PDFBibTeX XMLCite \textit{N. Boja}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 47(61), No. 1, 35--38 (2002; Zbl 1052.53007)
Perdomo, Oscar Stable minimal cones in \(\mathbb{R}^8\) and \(\mathbb{R}^9\) with constant scalar curvature. (English) Zbl 1060.53067 Rev. Colomb. Mat. 36, No. 2, 97-106 (2002). Reviewer: Robert A. Wolak (Kraków) MSC: 53C42 58J50 PDFBibTeX XMLCite \textit{O. Perdomo}, Rev. Colomb. Mat. 36, No. 2, 97--106 (2002; Zbl 1060.53067) Full Text: EuDML
Harnad, John; Zhedanov, Alezey; Yermolaeva, Oksana \(R\)-matrix approach to the Krall-Sheffer problem. (English) Zbl 1034.37029 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(1), 314-320 (2002). Reviewer: A. Sergyeyev (Kyïv) MSC: 37J35 37K30 17B62 35J10 35Q40 37J15 81R12 PDFBibTeX XMLCite \textit{J. Harnad} et al., in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 314--320 (2002; Zbl 1034.37029)
Ortega, Miguel Classifications of real hypersurfaces in complex space forms by means of curvature conditions. (English) Zbl 1046.53009 Bull. Belg. Math. Soc. - Simon Stevin 9, No. 3, 351-360 (2002). Reviewer: Ülo Lumiste (Tartu) MSC: 53B25 PDFBibTeX XMLCite \textit{M. Ortega}, Bull. Belg. Math. Soc. - Simon Stevin 9, No. 3, 351--360 (2002; Zbl 1046.53009)
Hauswirth, Laurent; Traizet, Martin The space of embedded doubly-periodic minimal surfaces. (English) Zbl 1039.53012 Indiana Univ. Math. J. 51, No. 5, 1041-1079 (2002). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 53A10 PDFBibTeX XMLCite \textit{L. Hauswirth} and \textit{M. Traizet}, Indiana Univ. Math. J. 51, No. 5, 1041--1079 (2002; Zbl 1039.53012) Full Text: DOI
Xu, Xingwang; Yang, Paul C. On a fourth order equation in 3-D. (English) Zbl 1071.53526 ESAIM, Control Optim. Calc. Var. 8, 1029-1042 (2002). MSC: 53C21 35C20 58J60 PDFBibTeX XMLCite \textit{X. Xu} and \textit{P. C. Yang}, ESAIM, Control Optim. Calc. Var. 8, 1029--1042 (2002; Zbl 1071.53526) Full Text: DOI Numdam EuDML
Gilkey, Peter; Zhang, Tan Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2. (English) Zbl 1017.53021 Period. Math. Hung. 44, No. 1, 7-26 (2002). MSC: 53B20 PDFBibTeX XMLCite \textit{P. Gilkey} and \textit{T. Zhang}, Period. Math. Hung. 44, No. 1, 7--26 (2002; Zbl 1017.53021) Full Text: DOI arXiv
Deshmukh, Sharief A characterization of Einstein manifolds. (English) Zbl 1039.53029 Arab J. Math. Sci. 8, No. 2, 41-52 (2002). Reviewer: Anna Fino (Torino) MSC: 53C20 53C25 PDFBibTeX XMLCite \textit{S. Deshmukh}, Arab J. Math. Sci. 8, No. 2, 41--52 (2002; Zbl 1039.53029)
Herzlich, Marc Minimal surfaces, the Dirac operator and the Penrose inequality. (English) Zbl 1038.58043 Seminar on spectral theory and geometry. 2001–2002. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Sémin. Théor. Spectr. Géom. 20, 9-16 (2002). Reviewer: Thoralf Chrobok (Berlin) MSC: 58J60 83C57 53C21 53C24 PDFBibTeX XMLCite \textit{M. Herzlich}, Sémin. Théor. Spectr. Géom. 20, 9--16 (2002; Zbl 1038.58043) Full Text: EuDML
Guenther, Christine; Isenberg, James; Knopf, Dan Stability of the Ricci flow at Ricci-flat metrics. (English) Zbl 1028.53043 Commun. Anal. Geom. 10, No. 4, 741-777 (2002). Reviewer: Serguey M.Pokas (Odessa) MSC: 53C21 53C44 58D17 PDFBibTeX XMLCite \textit{C. Guenther} et al., Commun. Anal. Geom. 10, No. 4, 741--777 (2002; Zbl 1028.53043) Full Text: DOI
Bray, Hubert; Finster, Felix Curvature estimates and the positive mass theorem. (English) Zbl 1030.53041 Commun. Anal. Geom. 10, No. 2, 291-306 (2002). Reviewer: W.Mozgawa (Lublin) MSC: 53C21 53C24 53-02 PDFBibTeX XMLCite \textit{H. Bray} and \textit{F. Finster}, Commun. Anal. Geom. 10, No. 2, 291--306 (2002; Zbl 1030.53041) Full Text: DOI arXiv
Escobar, José F. Topics in PDE’s and differential geometry. XII school on differential geometry, Goiânia, Brazil, July 2002. (English) Zbl 1029.53048 Goiânia: Universidade Federal de Goiás. viii, 88 p. (2002). Reviewer: Sergio Console (Torino) MSC: 53C21 58J60 53-01 58-01 35J05 35J15 58J05 PDFBibTeX XMLCite \textit{J. F. Escobar}, Topics in PDE's and differential geometry. XII school on differential geometry, Goiânia, Brazil, July 2002. Goiânia: Universidade Federal de Goiás (2002; Zbl 1029.53048)
Friedrich, Thomas; Kirchberg, Klaus-Dieter Eigenvalue estimates of the Dirac operator depending on the Ricci tensor. (English) Zbl 1033.53040 Math. Ann. 324, No. 4, 799-816 (2002). Reviewer: Mircea Craioveanu (Timişoara) MSC: 53C27 53C25 58J50 PDFBibTeX XMLCite \textit{T. Friedrich} and \textit{K.-D. Kirchberg}, Math. Ann. 324, No. 4, 799--816 (2002; Zbl 1033.53040) Full Text: DOI arXiv
Xu, Xinwang; Yang, Paul C. Conformal energy in four dimension. (English) Zbl 1026.53036 Math. Ann. 324, No. 4, 731-742 (2002). Reviewer: Eric Boeckx (Leuven) MSC: 53C42 53A30 PDFBibTeX XMLCite \textit{X. Xu} and \textit{P. C. Yang}, Math. Ann. 324, No. 4, 731--742 (2002; Zbl 1026.53036) Full Text: DOI
Castillon, Philippe Spectral properties and conformal type of surfaces. (English) Zbl 1031.53060 An. Acad. Bras. Ciênc. 74, No. 4, 585-588 (2002). Reviewer: F.Manhart (Wien) MSC: 53C20 53A10 58J50 PDFBibTeX XMLCite \textit{P. Castillon}, An. Acad. Bras. Ciênc. 74, No. 4, 585--588 (2002; Zbl 1031.53060) Full Text: DOI
Simon, Udo; Voss, Konrad; Vrancken, Luc; Wiehe, Martin Surfaces with prescribed Weingarten operator. (English) Zbl 1029.53005 Opozda, Barbara (ed.) et al., PDEs, submanifolds and affine differential geometry. Contributions of a conference, Warsaw, Poland, September 4-10, 2000. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 57, 171-178 (2002). Reviewer: Johannes Wallner (Wien) MSC: 53A05 53C24 53C40 53C42 PDFBibTeX XMLCite \textit{U. Simon} et al., Banach Cent. Publ. 57, 171--178 (2002; Zbl 1029.53005) Full Text: Link
Zhang, Tan Applications of algebraic topology in bounding the rank of the skew-symmetric curvature operator. (English) Zbl 1029.53028 Topology Appl. 124, No. 1, 9-24 (2002). Reviewer: A.Masiello (Bari) MSC: 53B20 57R19 PDFBibTeX XMLCite \textit{T. Zhang}, Topology Appl. 124, No. 1, 9--24 (2002; Zbl 1029.53028) Full Text: DOI
Aurich, Ralf The computation of highly excited hyperbolic 3D-eigenmodes and their application to quantum chaos and cosmology. (English) Zbl 1009.81005 Krause, Egon (ed.) et al., High performance computing in science and engineering ’01. Transactions of the High Performance Computing Center Stuttgart (HLRS), Germany, October 8-9, 2001. Berlin: Springer. 68-79 (2002). MSC: 81-08 81Q50 65Z05 81T20 83F05 85A25 58J50 PDFBibTeX XMLCite \textit{R. Aurich}, in: High performance computing in science and engineering '01. Transactions of the High Performance Computing Center Stuttgart (HLRS), Germany, October 8--9, 2001. Berlin: Springer. 68--79 (2002; Zbl 1009.81005)
García, Alicia N.; Hulett, Eduardo G.; Sánchez, Cristián U. On homogeneous hypersurfaces in complex Grassmannians. (English) Zbl 1035.53068 Beitr. Algebra Geom. 43, No. 2, 521-536 (2002). Reviewer: D. Andrica (Cluj-Napoca) MSC: 53C30 53C35 53C42 PDFBibTeX XMLCite \textit{A. N. García} et al., Beitr. Algebra Geom. 43, No. 2, 521--536 (2002; Zbl 1035.53068) Full Text: EuDML EMIS
Mazepa, E. A. Boundary value problems for the stationary Schrödinger equation on Riemannian manifolds. (Russian, English) Zbl 1074.58502 Sib. Mat. Zh. 43, No. 3, 591-599 (2002); translation in Sib. Math. J. 43, No. 3, 473-479 (2002). Reviewer: I. A. Taimanov (Novosibirsk) MSC: 58J32 35J10 35J25 53C21 PDFBibTeX XMLCite \textit{E. A. Mazepa}, Sib. Mat. Zh. 43, No. 3, 591--599 (2002; Zbl 1074.58502); translation in Sib. Math. J. 43, No. 3, 473--479 (2002) Full Text: EuDML
Gilkey, Peter B.; Zhang, Tan Algebraic curvature tensors for indefinite metrics whose skew-symmetric curvature operator has constant Jordan normal form. (English) Zbl 1027.53022 Houston J. Math. 28, No. 2, 311-328 (2002). Reviewer: L.Vanhecke (Leuven) MSC: 53B30 53C50 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{T. Zhang}, Houston J. Math. 28, No. 2, 311--328 (2002; Zbl 1027.53022) Full Text: arXiv
Kamberov, George; Norman, Peter; Pedit, Franz; Pinkall, Ulrich Quaternions, spinors, and surfaces. (English) Zbl 1022.53001 Contemporary Mathematics. 299. Providence, RI: American Mathematical Society (AMS). ix, 138 p. (2002). Reviewer: Wolfgang Sproessig (Freiberg) MSC: 53-02 53A30 53C42 53C80 53A05 53C27 PDFBibTeX XMLCite \textit{G. Kamberov} et al., Quaternions, spinors, and surfaces. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1022.53001) Full Text: DOI
Oproiu, Vasile Differential geometry. (Geometrie diferenţială.) (Romanian) Zbl 1032.53001 Iaşi: Editura Universităţii “Alexandru Ioan Cuza”. 267 p. (2002). Reviewer: Valentin Boju (Montreal) MSC: 53-01 53Bxx 53Cxx PDFBibTeX XMLCite \textit{V. Oproiu}, Geometrie diferenţială (Romanian). Iaşi: Editura Universităţii ``Alexandru Ioan Cuza'' (2002; Zbl 1032.53001)
Dussan, Martha P.; Noronha, Maria Helena Manifolds with 2-nonnegative Ricci operator. (English) Zbl 1055.53025 Pac. J. Math. 204, No. 2, 319-334 (2002). Reviewer: Simon L. Kokkendorff (Maynooth) MSC: 53C21 PDFBibTeX XMLCite \textit{M. P. Dussan} and \textit{M. H. Noronha}, Pac. J. Math. 204, No. 2, 319--334 (2002; Zbl 1055.53025) Full Text: DOI
Gilkey, Peter B.; Ivanova, Raina Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting. (English) Zbl 1031.53037 Gil-Medrano, Olga (ed.) et al., Differential geometry. Proceedings of the international conference held in honour of the 60th birthday of A. M. Naveira, Valencia, Spain, July 8-14, 2001. Singapore: World Scientific. 179-186 (2002). Reviewer: Huafei Sun (Beijing) MSC: 53B20 53B30 PDFBibTeX XMLCite \textit{P. B. Gilkey} and \textit{R. Ivanova}, in: Differential geometry. Proceedings of the international conference held in honour of the 60th birthday of A. M. Naveira, Valencia, Spain, July 8--14, 2001. Singapore: World Scientific. 179--186 (2002; Zbl 1031.53037) Full Text: arXiv
Ge, Yufeng On several propositions of Hopf bundle \(S^3\). (English) Zbl 1018.53019 Chin. Q. J. Math. 17, No. 1, 103-110 (2002). Reviewer: Andrew Bucki (Oklahoma City) MSC: 53C21 PDFBibTeX XMLCite \textit{Y. Ge}, Chin. Q. J. Math. 17, No. 1, 103--110 (2002; Zbl 1018.53019)
Özgür, Cihan; Arslan, Kadri On some class of hypersurfaces in \(\mathbb{E}^{n+1}\) satisfying Chen’s equality. (English) Zbl 1028.53064 Turk. J. Math. 26, No. 3, 283-293 (2002). Reviewer: Huafei Sun (Beijing) MSC: 53C42 53A07 53C40 53C25 53B50 PDFBibTeX XMLCite \textit{C. Özgür} and \textit{K. Arslan}, Turk. J. Math. 26, No. 3, 283--293 (2002; Zbl 1028.53064)
Kasue, Atsushi Convergence of Riemannian manifolds and Laplace operators. I. (English) Zbl 1040.53053 Ann. Inst. Fourier 52, No. 4, 1219-1257 (2002). Reviewer: Fuliu Zhu (Hubei) MSC: 53C23 53C21 58J50 PDFBibTeX XMLCite \textit{A. Kasue}, Ann. Inst. Fourier 52, No. 4, 1219--1257 (2002; Zbl 1040.53053) Full Text: DOI Numdam Numdam EuDML
Goette, S.; Semmelmann, U. Scalar curvature estimates for compact symmetric spaces. (English) Zbl 1043.53030 Differ. Geom. Appl. 16, No. 1, 65-78 (2002). Reviewer: Ana Pereira do Vale (Braga) MSC: 53C21 58J20 53C24 53C35 PDFBibTeX XMLCite \textit{S. Goette} and \textit{U. Semmelmann}, Differ. Geom. Appl. 16, No. 1, 65--78 (2002; Zbl 1043.53030) Full Text: DOI arXiv
Huang, Xuanguo The first eigenvalue of the component with boundary convex hypersurface in \(S^{n+1}(1)\). (Chinese. English summary) Zbl 1026.58006 Chin. Ann. Math., Ser. A 23, No. 2, 261-270 (2002). Reviewer: Albert Sheu (Lawrence) MSC: 58C40 53C40 PDFBibTeX XMLCite \textit{X. Huang}, Chin. Ann. Math., Ser. A 23, No. 2, 261--270 (2002; Zbl 1026.58006)
Hedenmalm, Håkan; Jakobsson, Stefan; Shimorin, Sergei A biharmonic maximum principle for hyperbolic surfaces. (English) Zbl 1013.53025 J. Reine Angew. Math. 550, 25-75 (2002). Reviewer: Andrew Bucki (Oklahoma City) MSC: 53C21 31A30 PDFBibTeX XMLCite \textit{H. Hedenmalm} et al., J. Reine Angew. Math. 550, 25--75 (2002; Zbl 1013.53025) Full Text: DOI
Iriyeh, Hiroshi Minimal submanifolds in Riemannian spin manifolds with parallel spinor fields. (English) Zbl 1009.53035 J. Geom. Phys. 41, No. 3, 258-273 (2002). Reviewer: B.Rouxel (Quimper) MSC: 53C27 53C42 53C25 PDFBibTeX XMLCite \textit{H. Iriyeh}, J. Geom. Phys. 41, No. 3, 258--273 (2002; Zbl 1009.53035) Full Text: DOI
Escher, Joachim; Nishiura, Yasumasa Smooth unique solutions for a modified Mullins-Sekerka model arising in diblock copolymer melts. (English) Zbl 1017.35088 Hokkaido Math. J. 31, No. 1, 137-149 (2002). Reviewer: Temuri A.Dzhangveladze (Tbilisi) MSC: 35Q35 76D27 35R35 35J05 35B50 53A07 PDFBibTeX XMLCite \textit{J. Escher} and \textit{Y. Nishiura}, Hokkaido Math. J. 31, No. 1, 137--149 (2002; Zbl 1017.35088) Full Text: DOI
Arveson, William The Dirac operator of a commuting \(d\)-tuple. (English) Zbl 1038.47003 J. Funct. Anal. 189, No. 1, 53-79 (2002). Reviewer: Christiane Tretter (Bremen) MSC: 47A13 34L40 47A53 PDFBibTeX XMLCite \textit{W. Arveson}, J. Funct. Anal. 189, No. 1, 53--79 (2002; Zbl 1038.47003) Full Text: DOI arXiv
Castillon, Philippe Small eigenvalue problems on surfaces of constant mean curvature. (Problèmes de petites valeurs propres sur les surfaces de courbure moyenne constante.) (French) Zbl 1113.53040 Proc. Am. Math. Soc. 130, No. 4, 1153-1163 (2002). Reviewer: Shen Yi-Bing (Hangzhou) MSC: 53C42 58J50 58J35 53A10 PDFBibTeX XMLCite \textit{P. Castillon}, Proc. Am. Math. Soc. 130, No. 4, 1153--1163 (2002; Zbl 1113.53040) Full Text: DOI
Felli, Veronica Existence of conformal metrics on \(S^ n\) with prescribed fourth-order invariant. (English) Zbl 1054.53061 Adv. Differ. Equ. 7, No. 1, 47-76 (2002). MSC: 53C21 58J60 PDFBibTeX XMLCite \textit{V. Felli}, Adv. Differ. Equ. 7, No. 1, 47--76 (2002; Zbl 1054.53061) Full Text: arXiv