HW206 - Differential Geometry 2 Homework 06 1 Let M be a...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Differential Geometry 2 Homework 06 1. Let M be a connected complex manifold (of complex dimension greater than one) on which g is a K¨hler metric. Show that the only K¨hler metrics a a on M that are conformal to g are the constant multiples of g . 2. Let V, ·|· be a complex inner product space. Show explicitly that the induced fundamental two-form ω on complex projective space P(V ) is closed so that P(V ) is a K¨hler manifold. a 1 ...
View Full Document

This note was uploaded on 07/08/2011 for the course MTG 6256 taught by Professor Robinson during the Spring '09 term at University of Florida.

Ask a homework question - tutors are online