Characterizing specific Riemannian manifolds by differential equations

被引：29

作者：

Erkekoglu, F ^{[1
]}

García-Río, E

Kupeli, DN

Ünal, B

机构：

[1] Hacettepe Univ, Dept Math, TR-06532 Ankara, Turkey

[2] Univ Santiago de Compostela, Fac Math, Dept Geometry & Topol, Santiago De Compostela 15782, Spain

[3] Bosna Hersek Caddesi, TR-06510 Ankara, Turkey

[4] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

ACTA APPLICANDAE MATHEMATICAE | 2003年 / 76卷 / 02期

关键词：

Hessian tensor; second covariant differential; Laplacian; affinity tensor; tension field; eigenvalue; eigenfunction; eigenvector field; conformal vector field; projective vector field; k-nullity vector field; Euclidean sphere; complex projective space; quaternionic projective space;

D O I：

10.1023/A:1022987819448

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some characterizations of certain rank-one symmetric Riemannian manifolds by the existence of nontrivial solutions to certain partial differential equations on Riemannian manifolds are surveyed.

引用

页码：195 / 219

页数：25

共 50 条

[1] Characterizing Specific Riemannian Manifolds by Differential Equations
Fazilet Erkekoğlu
Eduardo García-Río
Demir N. Kupeli
Bülent Ünal
[J]. Acta Applicandae Mathematica, 2003, 76 : 195 - 219
[2] DIFFERENTIAL EQUATIONS ON RIEMANNIAN MANIFOLDS AND THEIR GEOMETRIC APPLICATIONS
CHENG, SY
YAU, ST
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (03) : 333 - 354
[3] Partial differential equations on semi-Riemannian manifolds
Jung, YT
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 241 (02) : 238 - 253
[4] SINGULAR INTEGRAL EQUATIONS FOR DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS
KOHN, JJ
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1956, 42 (09) : 650 - 653
[5] Characterizing Humans on Riemannian Manifolds
Tosato, Diego
Spera, Mauro
Cristani, Marco
Murino, Vittorio
[J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2013, 35 (08) : 1972 - 1984
[6] GEOMETRIC MECHANICS ON RIEMANNIAN MANIFOLDS, APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS
Vanzura, Jiri
[J]. MATHEMATICA BOHEMICA, 2007, 132 (02): : 222 - 222
[7] Viscosity solutions to second order partial differential equations on Riemannian manifolds
Azagra, Daniel
Ferrera, Juan
Sanz, Beatriz
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (02) : 307 - 336
[8] Second-order multivalued stochastic differential equations on Riemannian manifolds
Bernardin, F
Schatzman, M
Lamarque, CH
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2051): : 3095 - 3121
[9] NON-LINEAR DIFFERENTIAL-EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS
VAUGON, M
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 1979, 103 (03): : 263 - 272
[10] Geometric Mechanics on Riemannian Manifolds. Applications to Partial Differential Equations
Blaga, Paul
[J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2005, 50 (04): : 101 - 102

← 1 2 3 4 5 →