The complex Hodge Dual of an (r,0) form is: tex2html_wrap108

In general, tex2html_wrap109 .

We want to define: tex2html_wrap110 . Then tex2html_wrap111 which defines an inner product on elements of tex2html_wrap112 . Define the adjoint operator as tex2html_wrap113 for tex2html_wrap114 and tex2html_wrap115 . Then tex2html_wrap116 and tex2html_wrap117 .




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