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Riemannian Holonomy Groups and Calibrated Geometry

Riemannian Holonomy Groups and Calibrated Geometry PDF Author: Dominic D. Joyce
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314

Book Description
Covering an exciting and active area of research at the crossroads of several different fields in mathematics and physics, and drawing on the author's previous work, this text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.

Riemannian Holonomy Groups and Calibrated Geometry

Riemannian Holonomy Groups and Calibrated Geometry PDF Author: Dominic D. Joyce
Publisher: Oxford University Press
ISBN: 019921560X
Category : Mathematics
Languages : en
Pages : 314

Book Description
Covering an exciting and active area of research at the crossroads of several different fields in mathematics and physics, and drawing on the author's previous work, this text has been written to explain the advanced mathematics involved simply and clearly to graduate students in both disciplines.

Riemannian Geometry and Holonomy Groups

Riemannian Geometry and Holonomy Groups PDF Author: Simon Salamon
Publisher: Longman Scientific and Technical
ISBN:
Category : Geometry, Riemannian
Languages : en
Pages : 226

Book Description


Submanifolds and Holonomy

Submanifolds and Holonomy PDF Author: Jurgen Berndt
Publisher: CRC Press
ISBN: 1482245167
Category : Mathematics
Languages : en
Pages : 494

Book Description
Submanifolds and Holonomy, Second Edition explores recent progress in the submanifold geometry of space forms, including new methods based on the holonomy of the normal connection. This second edition reflects many developments that have occurred since the publication of its popular predecessor.New to the Second EditionNew chapter on normal holonom

Holonomy Groups in Riemannian Geometry

Holonomy Groups in Riemannian Geometry PDF Author: Andrew Clarke
Publisher:
ISBN: 9788524403460
Category : Geometry, Riemannian
Languages : en
Pages : 126

Book Description


Calabi-Yau Manifolds and Related Geometries

Calabi-Yau Manifolds and Related Geometries PDF Author: Mark Gross
Publisher: Springer Science & Business Media
ISBN: 3642190049
Category : Mathematics
Languages : en
Pages : 245

Book Description
This is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory. Proofs or sketches are given for many important results. From the reviews: "An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kähler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book." --MATHEMATICAL REVIEWS

Compact Manifolds with Special Holonomy

Compact Manifolds with Special Holonomy PDF Author: Dominic D. Joyce
Publisher: OUP Oxford
ISBN: 9780198506010
Category : Mathematics
Languages : en
Pages : 460

Book Description
This is a combination of a graduate textbook on Reimannian holonomy groups, and a research monograph on compact manifolds with the exceptional holonomy groups G2 and Spin (7). It contains much new research and many new examples.

Geometric Flows and the Geometry of Space-time

Geometric Flows and the Geometry of Space-time PDF Author: Vicente Cortés
Publisher: Springer
ISBN: 3030011267
Category : Mathematics
Languages : en
Pages : 121

Book Description
This book consists of two lecture notes on geometric flow equations (O. Schnürer) and Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner) written by leading experts in these fields. It grew out of the summer school “Geometric flows and the geometry of space-time” held in Hamburg (2016) and provides an excellent introduction for students of mathematics and theoretical physics to important themes of current research in global analysis, differential geometry and mathematical physics

Lectures on Hyperhamiltonian Dynamics and Physical Applications

Lectures on Hyperhamiltonian Dynamics and Physical Applications PDF Author: Giuseppe Gaeta
Publisher: Springer
ISBN: 331954358X
Category : Science
Languages : en
Pages : 182

Book Description
This book provides the mathematical foundations of the theory of hyperhamiltonian dynamics, together with a discussion of physical applications. In addition, some open problems are discussed. Hyperhamiltonian mechanics represents a generalization of Hamiltonian mechanics, in which the role of the symplectic structure is taken by a hyperkähler one (thus there are three Kähler/symplectic forms satisfying quaternionic relations). This has proved to be of use in the description of physical systems with spin, including those which do not admit a Hamiltonian formulation. The book is the first monograph on the subject, which has previously been treated only in research papers.

Geometry, Lie Theory and Applications

Geometry, Lie Theory and Applications PDF Author: Sigbjørn Hervik
Publisher: Springer Nature
ISBN: 3030812960
Category : Mathematics
Languages : en
Pages : 337

Book Description
This book consists of contributions from the participants of the Abel Symposium 2019 held in Ålesund, Norway. It was centered about applications of the ideas of symmetry and invariance, including equivalence and deformation theory of geometric structures, classification of differential invariants and invariant differential operators, integrability analysis of equations of mathematical physics, progress in parabolic geometry and mathematical aspects of general relativity. The chapters are written by leading international researchers, and consist of both survey and research articles. The book gives the reader an insight into the current research in differential geometry and Lie theory, as well as applications of these topics, in particular to general relativity and string theory.

C?-Algebraic Geometry with Corners

C?-Algebraic Geometry with Corners PDF Author: Kelli Francis-Staite
Publisher: Cambridge University Press
ISBN: 1009400169
Category : Mathematics
Languages : en
Pages : 223

Book Description
Crossing the boundary between differential and algebraic geometry in order to study singular spaces, this book introduces 'C∞-schemes with corners'.