Cartan for beginners: differential geometry via moving frames and exterior differential systems/
Ivey, Thomas A. 1963-
Cartan for beginners: differential geometry via moving frames and exterior differential systems/ Thomas A. Ivey, J.M. Landsberg. - Providence, R.I.: American Mathematical Society, 2003. - xiv, 378 p.: ill.; 26 cm. - Graduate studies in mathematics; v. 61 .
Includes bibliographical references and index.
Moving frames and exterior differential systems -- Euclidean geometry and Riemannian geometry -- Projective geometry -- Cartan-Kèahler I : linear algebra and constant-coefficient homogeneous systems -- Cartan-Kèahler II : the Cartan algorithm for linear Pfaffian systems -- The Cartan algorithm formalized : tableau, torsion, and prolongation -- Applications to PDE -- Cartan Kèahler III : the general case -- Geometric structures and connectio .
0821833758 (alk. paper)
2003059541
Geometry, Differential.
Exterior differential systems.
Géométrie différentielle.
Systemes différentiels extérieurs.
Geometria Diferencial.
Sistemas diferenciais exteriores.
516.36 / I95c
Cartan for beginners: differential geometry via moving frames and exterior differential systems/ Thomas A. Ivey, J.M. Landsberg. - Providence, R.I.: American Mathematical Society, 2003. - xiv, 378 p.: ill.; 26 cm. - Graduate studies in mathematics; v. 61 .
Includes bibliographical references and index.
Moving frames and exterior differential systems -- Euclidean geometry and Riemannian geometry -- Projective geometry -- Cartan-Kèahler I : linear algebra and constant-coefficient homogeneous systems -- Cartan-Kèahler II : the Cartan algorithm for linear Pfaffian systems -- The Cartan algorithm formalized : tableau, torsion, and prolongation -- Applications to PDE -- Cartan Kèahler III : the general case -- Geometric structures and connectio .
0821833758 (alk. paper)
2003059541
Geometry, Differential.
Exterior differential systems.
Géométrie différentielle.
Systemes différentiels extérieurs.
Geometria Diferencial.
Sistemas diferenciais exteriores.
516.36 / I95c