On the roles of exceptional geometry in calibration theory.

• Other Authors: Wu, Dan.
• Format: Others
• Language: English; Chinese
• Published: 2008
• Subjects: Geometric measure theory
• Online Access: http://library.cuhk.edu.hk/record=b5893543; http://repository.lib.cuhk.edu.hk/en/item/cuhk-326246

Wu, Dan. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. === Includes bibliographical references (leaves 62-63). === Abstracts in English and Chinese. === Chapter 1 --- Introduction --- p.6 === Chapter 2 --- Calibrated Geometry --- p.9 === Chapter 2.1 --- Theory of calibrations --- p.9 === Chapter 2.2 --- Two classical examples --- p.14 === Chapter 2.3 --- Calibrations and the VCP-forms --- p.19 === Chapter 3 --- Constructing Calibrations --- p.23 === Chapter 3.1 --- Clifford algebra and Spin groups --- p.23 === Chapter 3.2 --- Calibrations and spinors --- p.30 === Chapter 4 --- Calibrations in Exceptional Geometry --- p.39 === Chapter 4.1 --- G2 calibration --- p.40 === Chapter 4.2 --- Cayley calibration --- p.49 === Bibliography --- p.62