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Mathematics
Manifolds  Current Research Areas
Edited by Paul Bracken, ISBN 9789535128724, Print ISBN 9789535128717, 158 pages, Publisher: InTech, Chapters published January 18, 2017 under CC BY 3.0 license
DOI: 10.5772/63138
Edited Volume
Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas. It is hoped that the papers here will be able to provide a useful resource for researchers with regard to current fields of research in this important area.
This book is indexed in the Book Citation Index in Web of Science™ Core Collection (BKCI), BIOSIS Previews, and The Zoological Record. BKCI is part of the Web of Science Core Collection (WoSCC) together with SCI Expanded, SSCI, AHCI and other databases.
Prof. Paul Bracken
University of Texas Pan American, United States of America
Dr. Paul Bracken is currently a Professor at the Mathematics Department at the University of Texas in Edinburg, TX. He obtained his BSc degree from the University of Toronto and PhD degree from the University of Waterloo in Canada. His research interests include mathematical problems in quantum mechanics and quantum field theory, differential geometry and partial differential equations as well as their overlap with the area of gravity. He has published over 100 papers in journals and books and has given about 20 talks at various meetings and conferences at different levels.
Edited Books

Manifolds  Current Research Areas
Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas. It is hoped that the papers here will be able to provide a useful resource for researchers with regard to current fields of research in this important area.

Research Advances in Quantum Dynamics
There continue at present many developments in the area of quantum mechanics and quantum dynamics in particular, of a very fundamental nature, all the way from implications for the foundations of physics to the influence of quantum mechanics on emerging technologies, such as the areas of quantum semiconductors and quantum computing, both of which are very important examples. It is hoped that the papers in this volume will be able to provide a much needed resource for researchers with regard to current fields of research in this dynamic area.

Advances in Quantum Mechanics
The development of quantum mechanics has taken physics in a vastly new direction from that of classical physics from the very start. In fact, there continue at present to be many developments in the subject of a very fundamental nature, such as implications for the foundations of physics, physics of entanglement, geometric phases, gravity and cosmology and elementary particles as well. It is hoped the papers in this volume will provide a much needed resource for researchers with regard to current topics of research in this growing area.
INTECHOPEN PUBLICATIONS

Book Chapter
Spectral Theory of Operators on Manifolds
in the book "Manifolds  Current Research Areas" edited by Paul Bracken, ISBN 9789535128724, Print ISBN 9789535128717, InTech, January 1, 2017 
Book Chapter
An Intrinsic Characterization of Bonnet Surfaces Based on a Closed Differential Ideal
in the book "Manifolds  Current Research Areas" edited by Paul Bracken, ISBN 9789535128724, Print ISBN 9789535128717, InTech, January 1, 2017 
Book Chapter
Quantum Dynamics, Entropy and Quantum Versions of Maxwell’s Demon
in the book "Research Advances in Quantum Dynamics" edited by Paul Bracken, ISBN 9789535124863, Print ISBN 9789535124856, InTech, August 8, 2016 
Book Chapter
The Schwinger Action Principle and Its Applications to Quantum Mechanics
in the book "Advances in Quantum Mechanics" edited by Paul Bracken, ISBN 9789535110897, InTech, April 4, 2013 
Book Chapter
Quantum Mechanics Entropy and a Quantum Version of the HTheorem
in the book "Theoretical Concepts of Quantum Mechanics" edited by Mohammad Reza Pahlavani, ISBN 9789535100881, InTech, February 2, 2012