3 edition of **Old and new aspects in spectral geometry** found in the catalog.

Old and new aspects in spectral geometry

M. Craioveanu

- 400 Want to read
- 14 Currently reading

Published
**2001**
by Kluwer Academic in Dordrecht, London
.

Written in English

- Spectral geometry.

**Edition Notes**

Includes bibliographical references and index.

Statement | by Mircea Craioveanu and Mircea Puta and Themistocles M. Rassias. |

Series | Mathematics and its applications -- v. 534., Mathematics and its applications (Kluwer Academic Publishers) -- v. 534. |

Contributions | Puta, Mircea., Rassias, Themistocles M., 1951- |

Classifications | |
---|---|

LC Classifications | QA614.95 .C73 2001 |

The Physical Object | |

Pagination | ix, 445 p. ; |

Number of Pages | 445 |

ID Numbers | |

Open Library | OL21801212M |

ISBN 10 | 1402000529 |

LC Control Number | 2001038891 |

The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. A non technical discussion of some aspects and uses of noncommutative geometry in physics, using the words Spectral Geometry, part of the title of the workshop, We know that in this case we have to change the questions rather than seek new answers to old questions. A new framework is needed. Let us consider first the following statement.

On the Geometry Induced by Lorentz Transformations in Pseudo-Euclidean Spaces Ungar, Abraham,, ; A confirmation by hand calculation that the Möbius ball is a gyrovector space Watanabe, Keiichi, Nihonkai Mathematical Journal, ; Hyperbolic Geometry Ungar, Abraham A., Journal of Geometry and Symmetry in Physics, ; Hyperbolic Geometry Ungar, Abraham A.,, Download Citation | The Dwelling of the Spectral Action | The natural habitat of the spectral action is Connes’ noncommutative geometry. Therefore, it is indispensable to lay out its rudiments.

Spectral Theory and Geometry Bruno Colbois Preamble: These are informal notes of a series of 4 talks I gave in Teheran, in the CIMPA-UNESCO-IRAN School "Recent Topics in Geometric Analysis", May June 2, The goal was to give an introduction to the geometric spectral theory of the Laplacian acting on p-di erential forms. Introduction to spectral geometry Bruno Colbois, University of Neuch^atel Beirut, February March 7, Preamble. These notes correspond to a six hours lecture given in the context of the CIMPA School Elliptic problems and applications in geometry, Beirut. They are intended for participants of the School and not for publication.

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If M is closed, the spectrum of each such operator is an infinite divergent sequence of real numbers, each eigenvalue being repeated according to its finite multiplicity.

Spectral Geometry is concerned with the spectra of these operators, also the extent to which these spectra determine the geometry of (M, g) and the topology of M. Old and New Aspects in Spectral Geometry (Mathematics and Its Applications Book ) - Kindle edition by Craioveanu, M.-E., Puta, Mircea, Rassias, Themistocles M., Puta, Mircea, Rassias, Themistocles M.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Old and New Aspects in Spectral Geometry. Buy the Paperback Book Old and New Aspects in Spectral Geometry by M.-E. Craioveanu atCanada's largest bookstore.

Free shipping and pickup in store on eligible orders. It is known that to any Riemannian manifold (M, g), with or without boundary, one can associate certain fundamental objects. Old and New Aspects in Spectral Geometry M.-E. Craioveanu, Mircea Puta, Themistocles M.

Rassias This work presents some classical as well as some very recent results and techniques concerning the spectral geometry corresponding to the Laplace-Beltrami operator and the Hodge-de Rham operators. ISBN: OCLC Number: Description: ix, pages ; 25 cm. Contents: Ch.

Introduction to Riemannian Manifolds. Tensor Fields on. Old and New Aspects in Spectral Geometry. Authors: Craioveanu, M.-E., Puta, Mircea, Rassias, Themistocles M.

Free Preview. Old and New Aspects in Spectral Geometry (Mathematics and Its Applications Book ) (English Edition) eBook: Craioveanu, M.-E., Puta, Mircea, Rassias, Themistocles M Format: Kindle. Old and New Aspects in Spectral Geometry by M. Craioveanu,available at Book Depository with free delivery worldwide.

Old and New Aspects in Spectral Geometry by Mircea Craioveanu Mircea Puta Facultatea de Matematica, Universitatea de Vest din Timisoara, Timisoara, Romania and Themistocles M. Rassias Department of Mathematics, National Technical University of Athens, Athens, Greece KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON.

Old Password. New Password. Too Short Weak Medium our website will be offline for less than an hour but the E-commerce and registration of new users may not be available for up to 4 hours. Contact us at [email protected] for any enquiries. Spectral Geometry of the Laplacian.

Spectral Analysis and Differential Geometry of the Laplacian. Old and New Aspects in Spectral Geometry Series: Mathematics and Its Applications, Vol. It is known that to any Riemannian manifold (M, g), with or without boundary, one can associate certain fundamental objects. Among them are the Laplace-Beltrami opera tor and the Hodge-de Rham operators, which are natural [that is, they commute with the.

Get this from a library. Old and New Aspects in Spectral Geometry. [M Craioveanu; Mircea Puta; Themistocles M Rassias] -- This work presents some classical as well as some very recent results and techniques concerning the spectral geometry corresponding to the Laplace-Beltrami operator and the Hodge-de Rham operators.

Eigenvalues in Riemannian geometry. By I. Chavel. Old and new aspects in Spectral Geometry. By M. Craiveanu, M. Puta and T. Ras-sias. The Laplacian on a Riemannian manifold. By S. Rosenberg. Local and global analysis of eigenfunctions on Riemannian manifolds. By S.

Zelditch. Enjoy!. Eigenvalues in Riemannian geometry. By I. Chavel. Old and new aspects in Spectral Geometry. By M. Craiveanu, M. Puta and T. Ras-sias. The Laplacian on a Riemannian manifold. By S. Rosenberg. Local and global analysis of eigenfunctions on Riemannian manifolds.

By S. Zelditch. I would like to thank Evans Harrell and Richard Laugesen for sharing. Old and New Aspects in Spectral Geometry (Mathematics and Its Applications) Softcover reprint of hardcover 1st ed. Edition by Mircea Craioveanu (Author), Mircea Puta (Contributor), Themistocles M.

Rassias (Contributor) & ISBN ISBN Format: Paperback. Abstract: The goal of these lectures is to present the few fundamentals of noncommutative geometry looking around its spectral approach. Strongly motivated by physics, in particular by relativity and quantum mechanics, Chamseddine and Connes have defined an action based on spectral considerations, the so-called spectral action.

Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis.

Spectral geometry deals with the study of the influence of the spectra of such operators on the geometry and topology of a Riemannian manifold Topological aspects. "You can't hear the shape of a manifold" J. Tirao and N. Wallach (ed.), New Developments in Lie Theory and Their Applications.

Proc. 3rd Workshop Represent. Spectral Geometry Processing Misha Kazhdan [Taubin, ] A Signal Processing Approach to Fair Surface Design [Desbrun, et al., ] Implicit Fairing of Arbitrary Meshes [Vallet and Levy, ] Spectral Geometry Processing with Manifold Harmonics [Bhat et al., ] Fourier Analysis of the 2D Screened Poisson Equation And much, much.

Old and New Aspects in Spectral Geometry (English, Hardback) M. Craioveanu, Mircea Puta. Spectral Geometry is concerned with the spectra of these operators, also the extent to which these spectra determine the geometry of (M, g) and the topology of M.

Currently Unavailable Why is this unavailable. More details. Spectral geometry is a field in mathematics which concerns relationships between geometric structures of manifolds and spectra of canonically defined differential case of the Laplace–Beltrami operator on a closed Riemannian manifold has been most intensively studied, although other Laplace operators in differential geometry have also been examined.Spectral Geometry Overview: Let M be a closed Riemannian manifold and let Δ denote its Laplace operator acting on smooth functions on M.

It is a self-adjoint, positive and elliptic differential operator which has a pure point spectrum. 0 infinity. There is also an orthonormal basis \varphi_i, i=1,2, of L^2 (M) consisting of eigenfunctions of Δ.

The goal of these lectures is to present the few fundamentals of noncommutative geometry looking around its spectral approach. Strongly motivated by physics, in particular by relativity and quantum mechanics, Chamseddine and Connes have defined an action based on spectral considerations, the so-called spectral action.

The idea is to review the necessary tools which are behind this spectral.