Heat ball formulæ for k-forms on evolving manifolds
2019 ◽
Vol 12
(2)
◽
pp. 135-156
◽
Keyword(s):
AbstractWe establish a local monotonicity identity for vector bundle-valued differential k-forms on superlevel sets of appropriate heat kernel-like functions. As a consequence, we obtain new local monotonicity formulæ for the harmonic map and Yang–Mills heat flows on evolving manifolds. We also show how these methods yield local monotonicity formulæ for the Yang–Mills–Higgs flow.
Keyword(s):
2011 ◽
Vol 13
(04)
◽
pp. 675-695
◽
Keyword(s):
1982 ◽
Vol 91
(3)
◽
pp. 441-452
◽
Keyword(s):
2013 ◽
Vol 33
(2)
◽
pp. 739-755
◽
2015 ◽
Vol 2015
(709)
◽
pp. 1-13
◽
1993 ◽
Vol 04
(03)
◽
pp. 467-501
◽
Keyword(s):
2018 ◽
Vol 11
(3)
◽
pp. 223-255
◽
Keyword(s):