# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeAug 24th 2011
• (edited Aug 24th 2011)

mentioned two basic properties at Hodge star operator (namely those needed at holographic principle ;-)

• CommentRowNumber2.
• CommentAuthorTobyBartels
• CommentTimeAug 24th 2011

The definition wasn’t general enough for your properties, so I generalised it.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeAug 24th 2011

Thanks, Toby. Do you mean the paragraph “Generalizations”?

• CommentRowNumber4.
• CommentAuthorTobyBartels
• CommentTimeAug 24th 2011

No, I mean my first edit, the basic Definition. Already that was a very restricted context.

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeAug 27th 2011
• (edited Aug 27th 2011)

I have expanded a bit more, making the Hodge inner product more explicit, and making explicit the two versions: with values in $C^\infty(X)$ and after integration against $vol$ with values in $\mathbb{R}$.

Am not convinced yet that the $\langle-,-\rangle$-versus-$(-\mid-)$-notation is good, but will leave it at that for the moment.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeMay 30th 2014
• (edited May 30th 2014)

added a pointer to the basic fact regarding the action on Kähler manifolds, also at Kähler manifold itself

• CommentRowNumber7.
• CommentAuthorTobyBartels
• CommentTimeMay 30th 2014

The link to the action on Kähler manifolds is broken.

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeMay 30th 2014

Thanks, fixed now.