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Constant Scalar Curvature on Boundary Complexes . . .
, 2010
"... In this paper we give examples of constant scalar curvature metrics on piecewiseflat triangulated 3manifolds. These types of metrics are possible candidates for “best” metrics on triangulated 3manifolds. In the pentachoron, the triangulation formed by the simplicial boundary of the 4simplex, we ..."
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In this paper we give examples of constant scalar curvature metrics on piecewiseflat triangulated 3manifolds. These types of metrics are possible candidates for “best” metrics on triangulated 3manifolds. In the pentachoron, the triangulation formed by the simplicial boundary of the 4simplex, we
Lectures on stability and constant scalar curvature
, 2008
"... An introduction is provided to some current research trends in stability in geometric invariant theory and the problem of Kähler metrics of constant scalar curvature. Besides classical notions such as ChowMumford stability, the emphasis is on several new stability conditions, such as Kstability, D ..."
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Cited by 49 (5 self)
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An introduction is provided to some current research trends in stability in geometric invariant theory and the problem of Kähler metrics of constant scalar curvature. Besides classical notions such as ChowMumford stability, the emphasis is on several new stability conditions, such as K
Constant scalar curvature metrics on connected sums
 Int. J. Math. Math. Sci
"... In 1960 Yamabe [7] proposed the problem of finding a metric of constant scalar curvature conformal to any compact Riemannian manifold of dimension at least ..."
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Cited by 25 (0 self)
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In 1960 Yamabe [7] proposed the problem of finding a metric of constant scalar curvature conformal to any compact Riemannian manifold of dimension at least
Construction of Kähler surfaces with constant scalar curvature
"... ABSTRACT. We present new constructions of Kähler metrics with constant scalar curvature on complex surfaces, in particular on certain del Pezzo surfaces. 1. ..."
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Cited by 9 (3 self)
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ABSTRACT. We present new constructions of Kähler metrics with constant scalar curvature on complex surfaces, in particular on certain del Pezzo surfaces. 1.
KSTABILITY OF CONSTANT SCALAR CURVATURE POLARIZATION
, 2008
"... In this paper, we shall show that a polarized algebraic manifold is Kstable if the polarization class admits a Kähler metric of constant scalar curvature. This generalizes the results of ChenTian [1], Donaldson [4] and Stoppa [20]. ..."
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Cited by 25 (1 self)
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In this paper, we shall show that a polarized algebraic manifold is Kstable if the polarization class admits a Kähler metric of constant scalar curvature. This generalizes the results of ChenTian [1], Donaldson [4] and Stoppa [20].
Kstability of constant scalar curvature Kähler manifolds
, 803
"... We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automorphisms is Kstable. This refines the Ksemistability proved by S. K. Donaldson. 1 ..."
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We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automorphisms is Kstable. This refines the Ksemistability proved by S. K. Donaldson. 1
CONSTANT SCALAR CURVATURE KÄHLER SURFACES AND PARABOLIC POLYSTABILITY
, 2007
"... Abstract. A complex ruled surface admits an iterated blowup encoded by a parabolic structure with rational weights. Under a condition of parabolic stability, one can construct a Kähler metric of constant scalar curvature on the blowup according to [18]. We present a generalization of this construc ..."
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Cited by 6 (1 self)
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Abstract. A complex ruled surface admits an iterated blowup encoded by a parabolic structure with rational weights. Under a condition of parabolic stability, one can construct a Kähler metric of constant scalar curvature on the blowup according to [18]. We present a generalization
Connected Sum Constructions For Constant Scalar Curvature Metrics
 JOURNAL OF THE JULIUSZ SCHAUDER CENTER
, 1995
"... We give a general procedure for gluing together possibly noncompact manifolds of constant scalar curvature which satisfy an extra nondegeneracy hypothesis. Our aim is to provide a simple paradigm for making ‘analytic’ connected sums. In particular, we can easily construct complete metrics of const ..."
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Cited by 36 (9 self)
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We give a general procedure for gluing together possibly noncompact manifolds of constant scalar curvature which satisfy an extra nondegeneracy hypothesis. Our aim is to provide a simple paradigm for making ‘analytic’ connected sums. In particular, we can easily construct complete metrics
Results 1  10
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8,548