TY - JOUR
T1 - Spin(7) Metrics of Cohomogeneity One with Aloff–Wallach Spaces as Principal Orbits
AU - Chi, Hanci
N1 - Publisher Copyright:
© 2022, Mathematica Josephina, Inc.
PY - 2022/5
Y1 - 2022/5
N2 - In this article, we construct two continuous 1-parameter family of non-compact Spin (7) metrics with both chiralities, with the principal orbit an Aloff–Wallach space Nk,l and the singular orbit CP2. For a generic Nk,l, metrics constructed are locally asymptotically conical (ALC). For N1 , 1, we construct two continuous 1-parameter families with geometric transition from asymptotically conical (AC) metrics to ALC metrics.
AB - In this article, we construct two continuous 1-parameter family of non-compact Spin (7) metrics with both chiralities, with the principal orbit an Aloff–Wallach space Nk,l and the singular orbit CP2. For a generic Nk,l, metrics constructed are locally asymptotically conical (ALC). For N1 , 1, we construct two continuous 1-parameter families with geometric transition from asymptotically conical (AC) metrics to ALC metrics.
KW - Aloff–Wallach Space
KW - Cohomogeneity one metrics
KW - Spin(7)Metrics
UR - http://www.scopus.com/inward/record.url?scp=85125278941&partnerID=8YFLogxK
U2 - 10.1007/s12220-022-00879-2
DO - 10.1007/s12220-022-00879-2
M3 - Article
AN - SCOPUS:85125278941
SN - 1050-6926
VL - 32
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 5
M1 - 144
ER -