scholarly journals Exponential decay of Bergman kernels on complete Hermitian manifolds with Ricci curvature bounded from below

2019 ◽  
Vol 65 (12) ◽  
pp. 2086-2111 ◽  
Author(s):  
Franz Berger ◽  
Gian Maria Dall'Ara ◽  
Duong Ngoc Son
Keyword(s):  
Ricci Curvature ◽  
Exponential Decay ◽  
Bergman Kernels ◽  
Hermitian Manifolds

scholarly journals Bergman kernel along the Kähler–Ricci flow and Tian’s conjecture

2016 ◽  
Vol 2016 (717) ◽  
Author(s):  
Wenshuai Jiang
Keyword(s):  
Recent Work ◽  
Ricci Curvature ◽  
Ricci Flow ◽  
Bergman Kernel ◽  
Fano Manifolds ◽  
Bergman Kernels ◽  
Complex Dimension ◽  
Short Time

AbstractIn this paper, we study the behavior of Bergman kernels along the Kähler–Ricci flow on Fano manifolds. We show that the Bergman kernels are equivalent along the Kähler–Ricci flow for short time under certain condition on the Ricci curvature of the initial metric. Then, using a recent work of Tian and Zhang, we can solve a conjecture of Tian for Fano manifolds of complex dimension at most 3.

scholarly journals GEOMETRY OF HERMITIAN MANIFOLDS

2012 ◽  
Vol 23 (06) ◽  
pp. 1250055 ◽  
Author(s):  
KE-FENG LIU ◽  
XIAO-KUI YANG
Keyword(s):  
Vector Bundle ◽  
Ricci Curvature ◽  
Vector Bundles ◽  
Hermitian Manifold ◽  
Geometric Flow ◽  
Complex Vector ◽  
Hermitian Manifolds ◽  
Metric Connection ◽  
Curvature Tensors ◽  
Compact Hermitian Manifold

On Hermitian manifolds, the second Ricci curvature tensors of various metric connections are closely related to the geometry of Hermitian manifolds. By refining the Bochner formulas for any Hermitian complex vector bundle (and Riemannian real vector bundle) with an arbitrary metric connection over a compact Hermitian manifold, we can derive various vanishing theorems for Hermitian manifolds and complex vector bundles by the second Ricci curvature tensors. We will also introduce a natural geometric flow on Hermitian manifolds by using the second Ricci curvature tensor.

14 years of 6.7 GHz periodic methanol maser observations towards G188.95+0.89

2019 ◽  
Vol 15 (S356) ◽  
pp. 393-394
Author(s):  
Martin M. Mutie ◽  
Paul Baki ◽  
James O. Chibueze ◽  
Khadija El Bouchefry
Keyword(s):  
Radio Telescope ◽  
Exponential Decay ◽  
Hii Regions ◽  
Monitoring Period ◽  
Methanol Maser ◽  
Spectral Components ◽  
Methanol Masers ◽  
Compact Hii Regions

AbstractWe report the results of 14 years of monitoring of G188.95+0.89 periodic 6.7 GHz methanol masers using the Hartebeesthoek 26-m radio telescope. G188.95+0.89 (S252, AFGL5180) is a radio-quiet methanol maser site that is often interpreted as precursors of ultra-compact HII regions or massive protostar sites. At least five bright spectral components were identified. The maser feature at 11.36 km s-1 was found to experience an exponential decay during the monitoring period. The millimetre continuum reveals two cores associated with the source.

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