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Anti-invariant submanifolds of a Sasakian manifold with vanishing contact Bochner curvature tensor
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The Asymptotic Safety Scenario in Quantum Gravity. [PDF]
Niedermaier M, Reuter M.
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Anomaly formulas for the complex-valued analytic torsion on compact bordisms.
Maldonado Molina O.
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Some Optimal Inequalities for Anti-invariant Submanifolds of the Unit Sphere
Journal of Geometric Analysis, 2023The paper deals with anti-invariant submanifolds of the unit sphere of dimension \((2n+1)\) equipped with the canonical Sasakian structure. As the main result, the authors establish a basic inequality for such submanifolds involving the norm of the covariant differentiation of both the second fundamental form and the mean curvature vector field ...
Cheng Xing, Jiabin Yin
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INTEGRAL FORMULAS FOR ANTI-INVARIANT SUBMANIFOLDS OF A SASAKIAN SPACE FORM
Acta Mathematica Scientia, 1999Recall that a Sasakian structure \((\phi, g, \xi, \eta)\) on a manifold \(N^{2m+1}\) is given by a \((1,1)\)-tensor \(\phi\), metric \(g\), vector field \(\xi\) and 1-form \(\eta\) such that \[ \phi^2 = - I + \phi \bigotimes\xi,\qquad \eta(\xi)=1, \qquad \phi\xi=0, \qquad \eta\circ\xi=0, \] \[ g(\phi X,\phi Y)=g(X,Y) - \eta(X)\eta(Y), \qquad \eta(X)=g ...
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