TY - CHAP
T1 - Some Applications of Variational Calculus in Hermitian Geometry
AU - Harris, A
PY - 2002
Y1 - 2002
N2 - Variational methods have long been regarded as the mathematical foundation of both classical and quantum mechanics, and continue to supply much of the impetus of modern symplectic topology and geometry. Their application in Hermitian geometry is a more recent development, though of comparable importance. The following partial survey will set out to expose their role specifically on the theory of Hermitian-Einstein vector bundles, and in those aspects of conformal field theory which involve deformations of complex structure.
AB - Variational methods have long been regarded as the mathematical foundation of both classical and quantum mechanics, and continue to supply much of the impetus of modern symplectic topology and geometry. Their application in Hermitian geometry is a more recent development, though of comparable importance. The following partial survey will set out to expose their role specifically on the theory of Hermitian-Einstein vector bundles, and in those aspects of conformal field theory which involve deformations of complex structure.
KW - Real and Complex Functions (incl Several Variables)
UR - http://www.springer.com/birkhauser?SGWID=0-40290-0-0-0
UR - http://books.google.com.au/books?hl=en&id=T6t0RPkWhVMC&dq=geometric+analysis+and+applications+to+quantum+field+theory+peter+bouwknegt+and+siye+wu&printsec=frontcover&source=web&ots=pJZpFd95Ap&sig=bVWwtfZF4KbvmhZq7KPCm-IiaSM
M3 - Chapter
SN - 0817642870
T3 - Progress in Mathematics
SP - 95
EP - 117
BT - Geometric Analysis and Applications to Quantum Field Theory
A2 - Bouwknegt, Peter
A2 - Wu, Siye
PB - Birkhauser
CY - New York, United States of America
ER -