Manifolds - Current Research Areas by Paul Bracken
Manifolds - Current Research Areas - Table of Contents
Section-1 Hopf Bifurcations
1. Mutiple Hopf Bifurcation on Center Manifold
Section-2 Related Topics Pertaining to Manifolds
2. An Intrinsic Characterization of Bonnet Surfaces Based on a Closed Differential Ideal
Section-3 Study of Types of Manifolds**
3. Sub-Manifolds of a Riemannian Manifold
4. Spectral Theory of Operators on Manifolds
5. Symplectic Manifolds: Gromov-Witten Invariants on Symplectic and Almost Contact Metric Manifolds
Section-4 Manifolds and Applications**
6. Head Pose Estimation via Manifold Learning
7. A Fusion Scheme of Local Manifold Learning Methods
What You Will Learn in Manifolds - Current Research Areas
"Manifolds – Current Research Areas", edited by Paul Bracken, is a comprehensive guide to modern developments in "differential geometry" and "manifold theory". The book brings together research papers and articles from leading mathematicians, highlighting active areas of study and contemporary methods. It serves as a bridge between classical concepts and current mathematical exploration, offering insight into the structure and properties of smooth manifolds.
The volume covers a wide range of topics including geometric structures, curvature, topology of manifolds, and applications in related fields. Each chapter presents research findings in a clear and accessible way, making complex ideas understandable to advanced students and researchers. The text emphasizes both theoretical developments and practical applications, showing how manifold theory connects with physics, topology, and higher-dimensional geometry.
This book is ideal for mathematicians, graduate students, and researchers seeking to understand current trends in "geometry", "topology", and "manifolds". By combining multiple perspectives and research approaches, it provides a rich resource for learning about ongoing investigations and emerging challenges in the field. Overall, "Manifolds – Current Research Areas" is a valuable reference for anyone interested in the forefront of modern manifold research.
Book Details & Specifications
Title:
Manifolds - Current Research Areas by Paul Bracken
Publisher:
InTech
Year:
2017
Pages:
164
Type:
PDF
Language:
English
ISBN-10 #:
953512871X
ISBN-13 #:
978-9535128717
License:
CC BY 3.0
Amazon:
Amazon
About the Author: Paul Bracken
The author
Paul Bracken
, an "American mathematician" and professor at the "University of Texas Rio Grande Valley", is known for his work linking geometry with "mathematical physics". His research emphasizes the interplay between abstract theory and practical applications. This book serves as a comprehensive guide to current trends and challenges in the study of manifolds. The book presents modern developments, including applications of "partial differential equations" and geometric methods, making complex research areas accessible to graduate students and researchers alike.
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