Master of Science in Mathematics
Department of Mathematical Sciences
Date of Award
Dr. Danish Ali
Committee Member 1
Dr. Mobeen Munir, University of Education, Lahore
Committee Member 2
Dr. Najma Abdul Rehman, COMSAT Institute of Information Technology, Sahiwal
Committee Member 3
Dr. Junaid Alam Khan, Institute of Business Administration, Karachi
Algebraic Geometry, Mathematics
The idea of Twistor Theory was created by English Physicist R. Penrose, is that the geometry of a conformal manifold M can be encoded in holomorphic terms of the so-called Twistor Spaces associated to M. The negative twistor space of an oriented Riemannian 4-manifold M , is a two-sphere bundle L whose fiber at any point m of M consists of all complex structure on tangent space Tm M compatible with metric and the opposite orientation of M. The Smooth Manifold L admits two almost complex structure J1 and J2 introduced by Atiyah-Hitchin-Singer and Elles-Salamon respectively, recently G. De- schamp observed that given a smooth map f from L to L ,a fibre preserving map, one can define an almost complex structure Jf on twistor space L and J1, J2 are the special cases of Jf . J. Davidov and O. Mushkarov studied the existence of holomorphic function with respect to almost complex structure J1 and J2. I have rigorously explore this existence in this thesis also I concluded that the existence of holomorphic function with respect to compatible almost complex structure Jf can be proven in the same way.
Haider, T. (2015). Existence of holomorphic functions with respect to almost complex structure on twistor spaces (Unpublished master's thesis). Institute of Business Administration, Pakistan. Retrieved from https://ir.iba.edu.pk/etd/57
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