scholarly journals The Global Sections of Chiral de Rham Complexes on Compact Ricci-Flat Kähler Manifolds

2021 ◽  
Vol 382 (1) ◽  
pp. 351-379
Author(s):  
Bailin Song
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Ricci Flat ◽  
De Rham

scholarly journals Examples of asymptotically conical Ricci-flat Kähler manifolds

2009 ◽  
Vol 267 (1-2) ◽  
pp. 465-496 ◽  
Author(s):  
Craig van Coevering
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Ricci Flat

scholarly journals Triangular de Rham cohomology of compact Kahler manifolds

2001 ◽  
Vol 192 (2) ◽  
pp. 187-214 ◽  
Author(s):  
A Yu Brudnyi ◽  
A L Onishchik
Keyword(s):  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
De Rham Cohomology ◽  
De Rham

scholarly journals A C0-estimate for the parabolic Monge–Ampère equation on complete non-compact Kähler manifolds

2009 ◽  
Vol 146 (1) ◽  
pp. 259-270 ◽  
Author(s):  
Albert Chau ◽  
Luen-Fai Tam
Keyword(s):  
Ricci Flow ◽  
Kähler Manifolds ◽  
Main Step ◽  
Kahler Manifolds ◽  
Compact Sets ◽  
Ricci Flat ◽  
Long Time ◽  
Flat Manifolds ◽  
Monge Ampere ◽  
Invent Math

AbstractIn this article we study the Kähler–Ricci flow, the corresponding parabolic Monge–Ampère equation and complete non-compact Kähler–Ricci flat manifolds. Our main result states that if (M,g) is sufficiently close to being Kähler–Ricci flat in a suitable sense, then the Kähler–Ricci flow has a long time smooth solution g(t) converging smoothly uniformly on compact sets to a complete Kähler–Ricci flat metric on M. The main step is to obtain a uniform C0-estimate for the corresponding parabolic Monge–Ampère equation. Our results on this can be viewed as parabolic versions of the main results of Tian and Yau [Complete Kähler manifolds with zero Ricci curvature. II, Invent. Math. 106 (1990), 27–60] on the elliptic Monge–Ampère equation.

scholarly journals Generalized Goldberg Formula

2016 ◽  
Vol 59 (3) ◽  
pp. 508-520
Author(s):  
Antonio De Nicola ◽  
Ivan Yudin
Keyword(s):  
Riemannian Manifold ◽  
Compact Manifold ◽  
Differential Forms ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Sasakian Manifolds ◽  
De Rham ◽  
Locally Conformally Kähler

AbstractIn this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed p-form acting on the de Rham algebra of a Riemannian manifold. Our formula generalizes a formula stated by Samuel I. Goldberg for the case of 1-forms. As first examples of application we obtain new identities on locally conformally Kähler manifolds and quasi-Sasakian manifolds. Moreover, we prove that under suitable conditions a certain subalgebra of differential forms in a compact manifold is quasi-isomorphic as a CDGA to the full de Rham algebra.

Two-dimensional supersymmetric sigma-models on Ricci-flat Kähler manifolds are not finite

1986 ◽  
Vol 277 ◽  
pp. 388-408 ◽  
Author(s):  
M.T. Grisaru ◽  
A.E.M. Van De Ven ◽  
D. Zanon
Keyword(s):  
Sigma Models ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Two Dimensional ◽  
Ricci Flat

scholarly journals Supersymmetric nonlinear sigma models on Ricci-flat Kähler manifolds with O(N) symmetry

2001 ◽  
Vol 515 (3-4) ◽  
pp. 421-425 ◽  
Author(s):  
Kiyoshi Higashijima ◽  
Tetsuji Kimura ◽  
Muneto Nitta
Keyword(s):  
Sigma Models ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Ricci Flat ◽  
Nonlinear Sigma Models
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