Download Riemannian Submersions and Related Topics by Maria Falcitelli PDF

By Maria Falcitelli

ISBN-10: 9812388966

ISBN-13: 9789812388964

ISBN-10: 9812562338

ISBN-13: 9789812562333

For graduate scholars and researchers attracted to differential geometry and theoretical physics, Falcitelli, Anna Maria Pastore (both U. of Bari, Italy) and Steve Ianus (U. of Bucharest, Romania) supply a scientific exposition of the elemental instruments at the idea of Riemannian submersions and its advancements. Submersions are distinct instruments in differential geometry, but additionally play a task in Riemannian geometry, specifically whilst the manifolds concerned hold an extra constitution. they're in a feeling a counterpart of immersions, however the corresponding theories and histories are particularly diverse.

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Download Handbook of pseudo-Riemannian geometry and supersymmetry by Cortes V. (ed.) PDF

By Cortes V. (ed.)

ISBN-10: 3037190795

ISBN-13: 9783037190791

The aim of this guide is to offer an outline of a few contemporary advancements in differential geometry relating to supersymmetric box theories. the most topics lined are: unique geometry and supersymmetry Generalized geometry Geometries with torsion Para-geometries Holonomy conception Symmetric areas and areas of continuous curvature Conformal geometry Wave equations on Lorentzian manifolds D-branes and K-theory The meant viewers contains complex scholars and researchers operating in differential geometry, string concept, and comparable components. The emphasis is on geometrical constructions happening heading in the right direction areas of supersymmetric box theories. a few of these constructions might be totally defined within the classical framework of pseudo-Riemannian geometry. Others result in new options referring to a number of fields of study, equivalent to unique Kähler geometry or generalized geometry. A e-book of the ecu Mathematical Society. allotted in the Americas through the yank Mathematical Society.

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Download Affine Berstein Problems and Monge-Ampere Equations by An-min Li PDF

By An-min Li

ISBN-10: 9812814167

ISBN-13: 9789812814166

During this monograph, the interaction among geometry and partial differential equations (PDEs) is of specific curiosity. It provides a selfcontained creation to analyze within the final decade referring to worldwide difficulties within the idea of submanifolds, resulting in a few forms of Monge-Ampère equations.

From the methodical viewpoint, it introduces the answer of sure Monge-Ampère equations through geometric modeling strategies. right here geometric modeling skill the fitting selection of a normalization and its precipitated geometry on a hypersurface outlined through a neighborhood strongly convex international graph. For a greater figuring out of the modeling options, the authors provide a selfcontained precis of relative hypersurface concept, they derive vital PDEs (e.g. affine spheres, affine maximal surfaces, and the affine consistent suggest curvature equation). bearing on modeling strategies, emphasis is on rigorously dependent proofs and exemplary comparisons among diversified modelings.

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Download A Panoramic view of Riemannian Geometry by Marcel Berger PDF

By Marcel Berger

Riemannian geometry has this day turn into an unlimited and critical topic. This new e-book of Marcel Berger units out to introduce readers to many of the dwelling subject matters of the sector and produce them speedy to the most effects recognized so far. those effects are acknowledged with no particular proofs however the major principles concerned are defined and stimulated. this permits the reader to procure a sweeping panoramic view of virtually the whole lot of the sector. notwithstanding, because a Riemannian manifold is, even in the beginning, a sophisticated item, beautiful to hugely non-natural suggestions, the 1st 3 chapters commit themselves to introducing a few of the options and instruments of Riemannian geometry within the such a lot traditional and motivating means, following specifically Gauss and Riemann.

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Download Tight and Taut Submanifolds by Thomas E. Cecil, Shiing-shen Chern PDF

By Thomas E. Cecil, Shiing-shen Chern

ISBN-10: 0521620473

ISBN-13: 9780521620475

Tight and taut manifolds shape a huge and particular category of surfaces inside differential geometry. This ebook comprises in-depth articles by way of specialists within the box in addition to an in depth and accomplished bibliography. This survey will open new avenues for extra learn and may be a major addition to any geometer's library.

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Download An Introduction To Differential Geometry With Use Of Tensor by Luther Pfahler Eisenhart PDF

By Luther Pfahler Eisenhart

A number of the earliest books, really these relationship again to the 1900s and sooner than, are actually super scarce and more and more pricey. we're republishing those vintage works in cheap, prime quality, glossy variations, utilizing the unique textual content and art.

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Download Compactifications of Symmetric and Locally Symmetric Spaces by Armand Borel PDF

By Armand Borel

ISBN-10: 0817632476

ISBN-13: 9780817632472

ISBN-10: 0817644660

ISBN-13: 9780817644666

Noncompact symmetric and in the community symmetric areas evidently seem in lots of mathematical theories, together with research (representation idea, nonabelian harmonic analysis), quantity thought (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In so much purposes it will be significant to shape a suitable compactification of the gap. The literature facing such compactifications is huge. the most function of this e-book is to introduce uniform structures of many of the identified compactifications with emphasis on their geometric and topological structures.

The publication is split into 3 elements. half I reports compactifications of Riemannian symmetric areas and their mathematics quotients. half II is a learn of compact tender manifolds. half III stories the compactification of in the community symmetric spaces.

Familiarity with the idea of semisimple Lie teams is believed, as is familiarity with algebraic teams outlined over the rational numbers in later components of the publication, even supposing lots of the pertinent fabric is recalled as awarded. another way, the ebook is a self-contained reference geared toward graduate scholars and study mathematicians attracted to the purposes of Lie concept and illustration concept to assorted fields of mathematics.

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Download Riemannian Geometry and Geometric Analysis by Jürgen Jost PDF

By Jürgen Jost

ISBN-10: 3540259074

ISBN-13: 9783540259077

This tested reference paintings maintains to steer its readers to a couple of the most popular issues of latest mathematical learn. in addition to a number of smaller additions, reorganizations, corrections, and a scientific bibliography, the most new positive factors of the 4th version are a scientific creation to Kähler geometry and the presentation of extra recommendations from geometric analysis.

From the studies: "This publication offers a really readable advent to Riemannian geometry and geometric research. the writer makes a speciality of utilizing analytic tools within the examine of a few basic theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparability theorem, the Lyusternik and Fet theorem and the lifestyles of harmonic mappings. With the monstrous improvement of the mathematical topic of geometric research, the current textbook is so much welcome. [..] The e-book is made extra attention-grabbing through the views in a number of sections." Math. Reviews

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Download Lectures on the geometry of manifolds by Liviu I Nicolaescu PDF

By Liviu I Nicolaescu

ISBN-10: 9810228368

ISBN-13: 9789810228361

An creation to the speculation of partially-ordered units, or "posets". The textual content is gifted in particularly an off-the-cuff demeanour, with examples and computations, which depend upon the Hasse diagram to construct graphical instinct for the constitution of endless posets. The proofs of a small variety of theorems is incorporated within the appendix. vital examples, specifically the Letter N poset, which performs a task comparable to that of the Petersen graph in offering a candidate counterexample to many propositions, are used again and again during the textual content

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