A NOTE ON HIGHER EXTREMAL METRICS

Pingali, Vamsi Pritham (2018) A NOTE ON HIGHER EXTREMAL METRICS. In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 370 (10). pp. 6995-7010.

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Abstract

In this paper we introduce ``higher extremal Kahler'' metrics. We provide an example of the same on a minimal ruled surface. We also prove a perturbation result that implies that there are non-trivial examples of ``higher constant scalar curvature'' metrics, which are basically metrics where the top Chern form is harmonic. We also give a relatively short proof of Liu's formula for the Bando-Futaki invariants (which are obstructions for the existence of harmonic Chern forms) of hypersurfaces of projective space.

Item Type:	Journal Article
Publication:	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Publisher:	AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
Additional Information:	Copy right for this article belong to AMER MATHEMATICAL SOC, 201 CHARLES ST, PROVIDENCE, RI 02940-2213 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	27 Aug 2018 14:57
Last Modified:	27 Aug 2018 14:57
URI:	http://eprints.iisc.ac.in/id/eprint/60501

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