Some Properties of the Curvature Operator of a Riemannian Manifold.
Grigorios Tsagas (1971)
Mathematische Zeitschrift
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Displaying similar documents to “The Gap Phenomena of Yang-Mills Fields over the Complete Manifold.”
Some Properties of the Curvature Operator of a Riemannian Manifold.
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Oprea, Teodor (2008)
Balkan Journal of Geometry and its Applications (BJGA)
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On the First Main Theorem on a Finite Manifold.
Shigeo Ozaki, Teiichi Higuchi (1969)
Mathematische Zeitschrift
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On the Fundamental Group of a Visibility Manifold.
V. Schroeder (1986)
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On the Classification of Lorentzian Sasaki Space Forms
Letizia Brunetti, Anna Maria Pastore (2013)
Publications de l'Institut Mathématique
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Spinor fields on Riemannian manifolds
Pokorná, Olga
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The Ruelle rotation of Killing vector fields
Konstantin Athanassopoulos (2009)
Colloquium Mathematicae
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We present an explicit formula for the Ruelle rotation of a nonsingular Killing vector field of a closed, oriented, Riemannian 3-manifold, with respect to Riemannian volume.
Scalar curvature and connected sums of self-dual 4-manifolds
Mustafa Kalafat (2011)
Journal of the European Mathematical Society
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Under a reasonable vanishing hypothesis, Donaldson and Friedman proved that the connected sum of two self-dual Riemannian 4-manifolds is again self-dual. Here we prove that the same result can be extended to the positive scalar curvature case. This is an analogue of the classical theorem of Gromov–Lawson and Schoen–Yau in the self-dual category. The proof is based on twistor theory.
On a class of contact Riemannian manifolds.
Cho, Jong Taek (2000)
International Journal of Mathematics and Mathematical Sciences
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On Irwin's proof of the pseudostable manifold theorem.
Rafael de de Llave, C. Eugene Wayne (1995)
Mathematische Zeitschrift
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On the existence of killing tensor fields of type q in a compact Riemannian manifold
N. Bokan (1973)
Matematički Vesnik
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On an Einstein projective Sasakian manifold.
Khan, Quddus (2006)
Novi Sad Journal of Mathematics
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Stabilities of F-Yang-Mills fields on submanifolds
Gao-Yang Jia, Zhen Rong Zhou (2013)
Archivum Mathematicum
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In this paper, we define an -Yang-Mills functional, and hence -Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of -Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper.