Abstract
We construct new ancient compact solutions to the Yamabe ow. Our solutions are rotationally symmetric and converge, as t → ∞1, to two self-similar complete non-compact solutions to the Yamabe ow moving in opposite directions. They are type I an-cient solutions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1667-1691 |
| Number of pages | 25 |
| Journal | Mathematical Research Letters |
| Volume | 24 |
| Issue number | 6 |
| State | Published - Jan 1 2017 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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New type i ancient compact solutions of the Yamabe flow. / Daskalopoulos, Panagiota; Del Pino, Manuel; King, John; Sesum, Natasa.
In: Mathematical Research Letters, Vol. 24, No. 6, 01.01.2017, p. 1667-1691.Research output: Contribution to journal › Article
TY - JOUR
T1 - New type i ancient compact solutions of the Yamabe flow
AU - Daskalopoulos, Panagiota
AU - Del Pino, Manuel
AU - King, John
AU - Sesum, Natasa
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We construct new ancient compact solutions to the Yamabe ow. Our solutions are rotationally symmetric and converge, as t → ∞1, to two self-similar complete non-compact solutions to the Yamabe ow moving in opposite directions. They are type I an-cient solutions.
AB - We construct new ancient compact solutions to the Yamabe ow. Our solutions are rotationally symmetric and converge, as t → ∞1, to two self-similar complete non-compact solutions to the Yamabe ow moving in opposite directions. They are type I an-cient solutions.
UR - http://www.scopus.com/inward/record.url?scp=85041818676&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85041818676&partnerID=8YFLogxK
M3 - Article
VL - 24
SP - 1667
EP - 1691
JO - Mathematical Research Letters
JF - Mathematical Research Letters
SN - 1073-2780
IS - 6
ER -