scholarly journals Generalized Killing spinors on Einstein manifolds

2014 ◽  
Vol 25 (04) ◽  
pp. 1450033 ◽  
Author(s):  
Andrei Moroianu ◽  
Uwe Semmelmann
Keyword(s):  
Scalar Curvature ◽  
Positive Scalar Curvature ◽  
Einstein Manifolds ◽  
Killing Spinors ◽  
Positive Scalar ◽  
Parallel Spinors ◽  
Generalized Killing Spinors

We study generalized Killing spinors on compact Einstein manifolds with positive scalar curvature. This problem is related to the existence of compact Einstein hypersurfaces in manifolds with parallel spinors, or equivalently, in Riemannian products of flat spaces, Calabi–Yau, hyperkähler, G2 and Spin(7) manifolds.

scholarly journals New Examples of Inhomogeneous Einstein Manifolds of Positive Scalar Curvature

1994 ◽  
Vol 1 (1) ◽  
pp. 115-121 ◽  
Author(s):  
Charles P. Boyer ◽  
Krzysztof Galicki ◽  
Benjamin M. Mann
Keyword(s):  
Scalar Curvature ◽  
Positive Scalar Curvature ◽  
Einstein Manifolds ◽  
Positive Scalar

Positive scalar curvature metrics via end-periodic manifolds

2020 ◽  
Vol 5 (3) ◽  
pp. 639-676
Author(s):  
Michael Hallam ◽  
Varghese Mathai
Keyword(s):  
Scalar Curvature ◽  
Positive Scalar Curvature ◽  
Positive Scalar

scholarly journals Complete hypersurfaces in cylinders

1989 ◽  
Vol 46 (2) ◽  
pp. 313-318
Author(s):  
Thomas Hasanis
Keyword(s):  
Euclidean Space ◽  
Scalar Curvature ◽  
Sectional Curvature ◽  
Positive Scalar Curvature ◽  
Positive Scalar ◽  
Coordinate Functions ◽  
Bounded Below ◽  
Complete Hypersurfaces

AbstractWe consider the extent of certain complete hypersurfaces of Euclidean space. We prove that every complete hypersurface in En+1 with sectional curvature bounded below and non-positive scalar curvature has at least (n − 1) unbounded coordinate functions.

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