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This book investigates the intricate relationship between geometric measure theory and the study of minimal surfaces. It delves into the theoretical underpinnings and advanced mathematical techniques used to understand surfaces that locally minimize area, exploring concepts such as varifolds, currents, and their applications in differential geometry and partial differential equations.
The book is recognized as a significant contribution to the field, offering a rigorous and comprehensive treatment of geometric measure theory with a specific focus on minimal surfaces. Its depth and theoretical approach suggest it is primarily aimed at researchers and advanced graduate students in mathematics. The material presented is expected to be dense, requiring a strong background in analysis and differential geometry, and it likely serves as a key reference for those working on the frontiers of these subjects.
Page Count:
0
Publication Date:
2011-01-01
ISBN-10:
3642109691
ISBN-13:
9783642109690
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