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Cartan for beginners: differential geometry via moving frames and exterior differential systems/ Thomas A. Ivey, J.M. Landsberg.

By: Contributor(s): Series: Graduate studies in mathematics ; v. 61Publication details: Providence, R.I.: American Mathematical Society, 2003.Description: xiv, 378 p.: ill.; 26 cmISBN:
  • 0821833758 (alk. paper)
Subject(s): DDC classification:
  • 516.36 I95c
Contents:
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 .
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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 .

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