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Abelian harmonic analysis, theta functions, and function algebra on a nilmanifold par Auslander, Louis. Publication : Berlin | New York Springer-Verlag 1975 . 1 online resource (98 pages). , Electronic reproduction.. [S.l.] :, 2010. Date : 1975 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Complex geometry : an introduction / par Huybrechts, Daniel. Publication : Berlin ; | New York : Springer, 2005 . xii, 309 p. : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Complex surfaces and connected sums of complex projective planes par Moishezon,, B. Publication : [S.l.] Springer 2009 . 238 p. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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GEOMETRY VI : RIEMANNIAN GEOMETRY / par Postnikov, M.M. Publication : [S.l.] : Springer, 2001 . 504 p. ; , Translated from the Russian Edition, the fifth book in the author's series "Lectures on Geometry," in which his various lectures are published. Provides an addendum to make the volume a self-contained work, and makes numerous changes to the Russian edition to make the material more digestible. 24 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Invariance theory : the heat equation and the atiyah-singer index theorem par Gilkey,, Peter B. Publication : [S.l.] CRC Press 1994 . 536 p. , This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation. 25 cm. Date : 1994 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations par Li, Charles Publication : New York Springer 1997 . viii, 170 pages 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Smooth manifolds and observables / par Nestruev, Jet. Publication : New York : Springer, 2003 . xiv, 222 p. : 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Statistics on special manifolds par Chikuse, Yasuko. Publication : New York Springer 2003 . 399 p. , Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques. 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Synthetic geometry of manifolds par Kock, Anders. Publication : New York Cambridge University Press 2010 . xiii, 302 pages , "This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighborhoods of the diagonal. These spaces enable a natural description of some of the basic constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric notions that exist in algebraic geometry. The presentation conveys the real strength of this approach to differential geometry. Concepts are clarified, proofs are streamlined, and the focus on infinitesimal spaces motivates the discussion well. Some of the specific differential-geometric theories dealt with are connection theory (notably affine connections), geometric distributions, differential forms, jet bundles, differentiable groupoids, differential operators, Riemannian metrics, and harmonic maps. Ideal for graduate students and researchers wishing to familiarize themselves with the field"--Provided by publisher. | "This book deals with a certain aspect of the theory of smoothmanifolds, namely (for each k) the kth neigbourhood of the diagonal. A part of the theory presented here also applies in algebraic geometry (smooth schemes). The neighbourhoods of the diagonal are classical mathematical objects. In the context of algebraic geometry, they were introduced by the Grothendieck school in the early 1960s; the Grothendieck ideas were imported into the context of smooth manifolds by Malgrange, Kumpera and Spencer, and others. Kumpera and Spencer call them "prolongation spaces of order k". The study of these spaces has previously been forced to be rather technical, because the prolongation spaces are not themselves manifolds, but live in a wider category of "spaces", which has to be described. For the case of algebraic geometry, one passes from the category of varieties to the wider category of schemes; for the smooth case, Malgrange, Kumpera and Spencer, and others described a category of "generalized differentiablemanifolds with nilpotent elements" (Kumpera and Spencer, 1973, p. 54)"--Provided by publisher. 24 cm. Date : 2010 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Variation et optimisation de formes : une analyse gĐeomĐetrique / par Henrot,, Antoine, Publication : Berlin ; | New York : Springer, 2005 . xii, 333 p. : 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Analysis, manifolds and physics. Part II / par Choquet-Bruhat, Yvonne. Publication : . 1 online resource (xvi, 541 pages) : , Companion volume to: Analysis, manifolds and physics. Rev. edition 1982. Disponibilité :  http://www.sciencedirect.com/science/book/9780444504739,

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Initiation to global Finslerian geometry / par Akbar-Zadeh, H. Publication : . 1 online resource (xiii, 250 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444521064,  http://www.sciencedirect.com/science/publication?issn=09246509&volume=68,

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Pseudo-differential operators on manifolds with singularities / par Schulze, Bert-Wolfgang. Publication : . 1 online resource (vi, 410 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444881373,  http://www.sciencedirect.com/science/publication?issn=01682024&volume=24,

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Semi-Riemannian geometry : with applications to relativity / par O'Neill, Barrett. Publication : . 1 online resource (xiii, 468 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780125267403,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=103,

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Decompositions of manifolds / par Daverman, Robert J. Publication : . 1 online resource (xi, 317 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780122042201,  http://www.sciencedirect.com/science/publication?issn=00798169&volume=124,

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Spaces and singular perturbations on manifolds without boundary / par Frank, L. S. Publication : . 1 online resource (xxiv, 555 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444881342,  http://www.sciencedirect.com/science/publication?issn=01682024&volume=23,

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Analytic functions and manifolds in infinite dimensional spaces / par Coeuré, Gerard. Publication : . 1 online resource (89 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444106216,  http://www.sciencedirect.com/science/publication?issn=03040208&volume=11,

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