scholarly journals Parallel spinors on Lorentzian Weyl spaces

2021 ◽  
Author(s):  
Andrei Dikarev ◽  
Anton S. Galaev
Keyword(s):  
Parallel Spinors ◽  
Weyl Spaces

scholarly journals A Curtis–Hedlund–Lyndon theorem for Besicovitch and Weyl spaces

2009 ◽  
Vol 410 (38-40) ◽  
pp. 3606-3615 ◽  
Author(s):  
Johannes Müller ◽  
Christoph Spandl
Keyword(s):  
Weyl Spaces

scholarly journals Harmonic morphisms between Weyl spaces and twistorial maps

2006 ◽  
Vol 14 (5) ◽  
pp. 847-881 ◽  
Author(s):  
Eric Loubeau ◽  
Radu Pantilie
Keyword(s):  
Harmonic Morphisms ◽  
Weyl Spaces

WEYL SPACES OF COMPOSITIONS OF SIX BASIC MANIFOLDS

2021 ◽  
Vol 10 (10) ◽  
pp. 3337-3347
Author(s):  
M. Ajeti ◽  
M. Teofilova ◽  
G. Zlatanov
Keyword(s):  
Covariant Differentiation ◽  
Weyl Spaces ◽  
Riemannian Spaces

By help of prolonged covariant differentiation, Cartesian compositions of six basic manifolds are studied. Weyl spaces of such compositions are characterized. Eleven-dimensional Riemannian spaces containing compositions of six basic manifolds are also considered.

scholarly journals On supersymmetric Lorentzian Einstein–Weyl spaces

2012 ◽  
Vol 62 (2) ◽  
pp. 301-311 ◽  
Author(s):  
Patrick Meessen ◽  
Tomás Ortín ◽  
Alberto Palomo-Lozano
Keyword(s):  
Weyl Spaces

scholarly journals Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces

2019 ◽  
Vol 793 ◽  
pp. 265-270 ◽  
Author(s):  
Dietmar Silke Klemm ◽  
Lucrezia Ravera
Keyword(s):  
Horizon Geometry ◽  
Weyl Spaces

scholarly journals Stability of Riemannian manifolds with Killing spinors

2017 ◽  
Vol 28 (01) ◽  
pp. 1750005 ◽  
Author(s):  
Changliang Wang
Keyword(s):  
Riemannian Manifolds ◽  
Einstein Manifold ◽  
Stability Result ◽  
Warped Products ◽  
Einstein Manifolds ◽  
Killing Spinors ◽  
Parallel Spinors ◽  
Unstable Manifolds ◽  
The Stability ◽  
Complete Riemannian Manifolds

Riemannian manifolds with nonzero Killing spinors are Einstein manifolds. Kröncke proved that all complete Riemannian manifolds with imaginary Killing spinors are (linearly) strictly stable in [Stable and unstable Einstein warped products, preprint (2015), arXiv:1507.01782v1 ]. In this paper, we obtain a new proof for this stability result by using a Bochner-type formula in [X. Dai, X. Wang and G. Wei, On the stability of Riemannian manifold with parallel spinors, Invent. Math. 161(1) (2005) 151–176; M. Wang, Preserving parallel spinors under metric deformations, Indiana Univ. Math. J. 40 (1991) 815–844]. Moreover, existence of real Killing spinors is closely related to the Sasaki–Einstein structure. A regular Sasaki–Einstein manifold is essentially the total space of a certain principal [Formula: see text]-bundle over a Kähler–Einstein manifold. We prove that if the base space is a product of two Kähler–Einstein manifolds then the regular Sasaki–Einstein manifold is unstable. This provides us many new examples of unstable manifolds with real Killing spinors.

scholarly journals THE ENERGY-MOMENTUM TENSOR ON Spinc MANIFOLDS

2011 ◽  
Vol 08 (02) ◽  
pp. 345-365 ◽  
Author(s):  
ROGER NAKAD
Keyword(s):  
Dirac Operator ◽  
Energy Momentum Tensor ◽  
Variational Formula ◽  
Second Fundamental Form ◽  
Momentum Tensor ◽  
Killing Spinors ◽  
Parallel Spinors ◽  
The Second Fundamental Form ◽  
Gauss Type ◽  
Generalized Cylinders

On Spinc manifolds, we study the Energy-Momentum tensor associated with a spinor field. First, we give a spinorial Gauss type formula for oriented hypersurfaces of a Spinc manifold. Using the notion of generalized cylinders, we derive the variational formula for the Dirac operator under metric deformation and point out that the Energy-Momentum tensor appears naturally as the second fundamental form of an isometric immersion. Finally, we show that generalized Spinc Killing spinors for Codazzi Energy-Momentum tensor are restrictions of parallel spinors.

scholarly journals On the stability of Riemannian manifold with parallel spinors

2005 ◽  
Vol 161 (1) ◽  
pp. 151-176 ◽  
Author(s):  
Xianzhe Dai ◽  
Xiaodong Wang ◽  
Guofang Wei
Keyword(s):  
Riemannian Manifold ◽  
Parallel Spinors ◽  
The Stability
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