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Here, it is shown a compact generalized quasi-Einstein or briefly a GQE manifold has the finite fundamental group. Next, under certain assumptions, a rigidity result shows that a compact GQE… Click to show full abstract
Here, it is shown a compact generalized quasi-Einstein or briefly a GQE manifold has the finite fundamental group. Next, under certain assumptions, a rigidity result shows that a compact GQE manifold is diffeomorphic to the standard n -sphere. As a corollary, if the scalar curvature is constant, then it is isometric to the standard n -sphere. Meanwhile, a trivialization criterion and existence of harmonic vector fields on a GQE are studied.
Keywords:
rigidity generalized;
generalized quasi;
einstein manifolds;
quasi einstein
Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
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Journal Title: Bulletin of the Malaysian Mathematical Sciences Society
Year Published: 2019
Link to full text (if available)
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recommendations!