Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The author explains key ideas, difficult proofs, and important applications in a succinct, accessible, and unified manner. The book first discusses Sobolev inequalities in various settings, including the Euclidean case, the Riemannian case, and the Ricci flow case. It then explores several applications and ramifications, such as heat kernel estimates, Perelman's W entropies and Sobolev inequality with surgeries, and the proof of Hamilton's little loop conjecture with surgeries. Using these tools, the author presents a unified approach to the Poincare conjecture that clarifies and simplifies Perelman's original proof. Since Perelman solved the Poincare conjecture, the area of Ricci flow with surgery has attracted a great deal of attention in the mathematical research community. Along with coverage of Riemann manifolds, this book shows how to employ Sobolev imbedding and heat kernel estimates to examine Ricci flow with surgery.

This study addresses how China's policy response to problems in Xinjiang is interpreted and implemented by officials, who are both governing agents and governed subjects by interviewing Chinese officials working in both Central government and Local governments.

This study addresses how China's policy response to problems in Xinjiang is interpreted and implemented by officials, who are both governing agents and governed subjects by interviewing Chinese officials working in both Central government and Local governments.

Though it's widely understood that inward foreign direct investment has played a major role in mediating China's emergence into the international economic system, how and why MNEs have implemented their involvement as part of their global strategy is less well understood. This book explores the nature of the MNE in this era of globalization.

Multinationals, China and the Global Economy analyses the results of an in-depth survey of subsidiaries in China of leading manufacturing multinational enterprises (MNEs). It investigates the strategic roles played by these subsidiaries and the sources of technologies they access or generate in doing this. It provides an original contribution to the understanding of important issues in international business, the economic development of China and economics.
In international business this study extends our knowledge of MNEs' global strategies through detailed analysis of the precise roles they expect their subsidiaries in China to play. A central theme of this is how these roles relate to the development of the Chinese economy and help its positioning in the global economy. Using the results of their survey, the authors analyse how MNEs are operating within the reorientation of Chinese development from low-cost exporting to an innovation-oriented and knowledge-driven economy. A very distinctive response to the growing Chinese market, and its changing patterns of consumer demand, emerges as a crucial factor at the core of this.

The rapid social and economic changes in China have brought about unprecedented challenges and opportunities to international stakeholders. This book provides valuable information about the key sectors of China's health care system after its entrance into WTO, including the pharmaceutical industry, health insurance services, and hospitals and related health service provision in terms of policies, legal framework and market potential. It offers a critical analysis from a multi-disciplinary perspective of the impact of WTO and globalization on China's health care system.

Unique and useful book covering fundamental knowledge and practical applications of polymer materials in energy storage systems In Functional Polymers for Metal-Ion Batteries, the recent development and achievements of polymer-based materials are comprehensively analyzed in four directions, including electrode materials, binders, separators, and solid electrolytes, highlighting the working mechanisms, classification, design strategies, and practical applications of these polymer materials in mental-ion batteries. Specific sample topics covered in Functional Polymers for Metal-Ion Batteries include: Prominent advantages of various solid-state electrolytes, such as low flammability, easy processability, more tolerance to vibration, shock, and mechanical deformation Why and how functional polymers present opportunities to maximize energy density and pursue the sustainability of the battery industry How the application of functional polymers in metal-ion batteries helps enhance the high energy density of energy storage devices and reduce carbon footprint during production How development of functional separators could significantly lower the cost of battery manufacturing Providing a comprehensive understanding of the role of polymers in the whole configuration of metal-ion batteries from electrodes to electrolytes, Functional Polymers for Metal-Ion Batteries is an ideal resource for materials scientists, electrochemists, and polymer, solid state, and physical chemists who wish to understand the latest developments of this technology.

Low-dimensional systems are a very active area of research (carbon nanotubes, quantum wells, silicon nanowires) and Raman spectroscopy can be applied in many parts of this field. This book will be a useful contribution to an active area of physics research, and will describe the basic knowledge on three-dimensional (traditional) Raman spectroscopy and then discuss the main features of low-dimensional Raman spectroscopy.

Contents:

Part I: Fundamentals of Raman Spectroscopy

CHAPTER 1 - GENERAL KNOWLEDGE OF RAMAN SPECTROSCOPY

CHAPTER 2 - FUNDAMENTAL THEORY OF LIGHT SCATTERING

CHAPTER 3 - EXPERIMENTAL BASES OF RAMAN SPECTROSCOPY

CHAPTER 4 - SHORT Introduction to Modern Raman spectroscopy

CHAPTER 5 - APPLICATIONS OF MODERN RAMAN SPECTROSCOPY

Part II: Study on Nanostructures by Raman Spectrosopy

CHAPTER 6 - GENERAL KNOWLEDGE OF NANOSTRUCTURES

CHAPTER 7 - THEORETICAL FUNDAMENTALS OF RAMAN SCATTERING IN SOLIDS

CHAPTER 8 - THEORETICAL FUNDAMENTALS OF RAMAN SCATTERING IN NANOSTRUCTURES

CHAPTER 9 - ROUTINE RAMAN SPECTRA OF NANOSTRUCTURES

CHAPTER 10 - RAMAN SPECTROSCOPY OF NANOSTRUCTURES WITH EXCITING LASER FEATURES

CHAPTER 11 - RAMAN SPECTRA WITH SAMPLE SIZES, SHAPES, COMPONENTS AND MICRO-STRUCTURES IN NANOSTRUCTURES

CHAPTER 12 - ELECTRON-PHONON INTERACTIONS IN RAMAN SPECTROSCOPY OF NANOSTRUCTURES

Appendix I Lasers and laser lines

Appendix II Standard spectral lines

Appendix III Raman Tensors

Appendix IV Brillouin zoon, vibration mode and its Raman spectrum of typical crystals and semiconductors

Appendix V Physical parameters, constants and units