scholarly journals Evanescent ergosurfaces and ambipolar hyperkähler metrics

2016 ◽  
Vol 2016 (4) ◽  
pp. 1-35 ◽  
Author(s):  
Benjamin E. Niehoff ◽  
Harvey S. Reall
Keyword(s):  
Hyperkähler Metrics

Nonzero scalar curvature generalizations of the ALE hyperkähler metrics

1992 ◽  
Vol 33 (5) ◽  
pp. 1765-1771 ◽  
Author(s):  
Krzysztof Galicki ◽  
Takashi Nitta
Keyword(s):  
Scalar Curvature ◽  
Hyperkähler Metrics ◽  
Nonzero Scalar

scholarly journals Hyperkähler metrics associated to compact Lie groups

1996 ◽  
Vol 120 (1) ◽  
pp. 61-69 ◽  
Author(s):  
Andrew Dancer ◽  
Andrew Swann
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Cotangent Bundle ◽  
Symplectic Structure ◽  
Compact Lie Group ◽  
Compact Lie Groups ◽  
Left And Right ◽  
Hyperkähler Metrics

It is well known that the cotangent bundle of any manifold has a canonical symplectic structure. If we specialize to the case when the manifold is a compact Lie group G, then this structure is preserved by the actions of G on T*G induced by left and right translation on G. We refer to these as the left and right actions of G on T*G.

Hyperkähler metrics of cohomogeneity one

1997 ◽  
Vol 21 (3) ◽  
pp. 218-230 ◽  
Author(s):  
Andrew Dancer ◽  
Andrew Swann
Keyword(s):  
Cohomogeneity One ◽  
Hyperkähler Metrics

scholarly journals THE SPACE OF HYPERKÄHLER METRICS ON A 4-MANIFOLD WITH BOUNDARY

2017 ◽  
Vol 5 ◽  
Author(s):  
JOEL FINE ◽  
JASON D. LOTAY ◽  
MICHAEL SINGER
Keyword(s):  
Boundary Value Problem ◽  
Moduli Space ◽  
Dimensional Manifold ◽  
Gravitational Instantons ◽  
Infinite Dimensional ◽  
Manifold With Boundary ◽  
Isometric Actions ◽  
Infinitesimal Deformations ◽  
Hyperkähler Metrics ◽  
Infinite Dimensional Manifold

Let $X$ be a compact 4-manifold with boundary. We study the space of hyperkähler triples $\unicode[STIX]{x1D714}_{1},\unicode[STIX]{x1D714}_{2},\unicode[STIX]{x1D714}_{3}$ on $X$, modulo diffeomorphisms which are the identity on the boundary. We prove that this moduli space is a smooth infinite-dimensional manifold and describe the tangent space in terms of triples of closed anti-self-dual 2-forms. We also explore the corresponding boundary value problem: a hyperkähler triple restricts to a closed framing of the bundle of 2-forms on the boundary; we identify the infinitesimal deformations of this closed framing that can be filled in to hyperkähler deformations of the original triple. Finally we study explicit examples coming from gravitational instantons with isometric actions of $\text{SU}(2)$.

Hyperkähler metrics from (4,0) superspace

1987 ◽  
Vol 190 (1-2) ◽  
pp. 63-68 ◽  
Author(s):  
Mark Evans ◽  
Burt A. Ovrut
Keyword(s):  
Hyperkähler Metrics
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