Results 111 to 120 of about 427,064 (305)
On the stability of Riemannian manifolds
Journal of the Mathematical Society of Japan, 1989 M The identity map of a compact Riemannian manifold is always a harmonic map. Any harmonic map has its Jacobi operator determined by the second variational formula of the energy integral of the harmonic map. The Jacobi operator of the identity map of a compact manifold is a linear elliptic selfadjoint operator of second order on the vector fields of ...
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An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source
Lie groups as 4-dimensional Riemannian or pseudo-Riemannian almost product manifolds with nonintegrable structure [PDF]
J. Geom., 90 (2008), 165-174, 2008 A Lie group as a 4-dimensional pseudo-Riemannian manifold is considered. This manifold is equipped with an almost product structure and a Killing metric in two ways. In the first case Riemannian almost product manifold with nonintegrable structure is obtained, and in the second case - a pseudo-Riemannian one.
arxiv
Degenerate Foliations in Sasakian Semi-Riemannian Manifolds [PDF]
In the Semi-Riemannian case we do not have the liability of the existence of such a metric being a difference from the Riemannian case. A Semi-Riemannian manifold provided with a normal contact metric structure is called Sasakian manifold.Semi-Riemannian,
Catalin Angelo Ioan
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From the conformal anomaly to the Virasoro algebra
Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley +1 more source
Anti-invariant Riemannian submersions from locally conformal Kaehler manifolds [PDF]
arXiv, 2019 B. Sahin [9] introduced the notion of anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. In the present paper we extend the notion of anti-invariant and Lagrangian Riemannian submersions (a special anti-invariant Riemannian submersion) to the case of locally conformal Kaehler manifolds.
arxiv
Isometry groups with radical, and aspherical Riemannian manifolds with large symmetry I
, 2018 Every compact aspherical Riemannian manifold admits a canonical series of orbibundle structures with infrasolv fibers which is called its infrasolv tower. The tower arises from the solvable radicals of isometry group actions on the universal covers.
Baues, Oliver, Kamishima, Yoshinobu
core
A Scalar-Tensor Theory of Gravitation in a Modified Riemannian Manifold
, 1971 A new scalar‐tensor theory of gravitation is formulated in a modified Riemannian manifold in which both the scalar and tensor fields have intrinsic geometrical significance.
D. Sen, K. Dunn
semanticscholar +1 more source
Clifford structures on Riemannian manifolds
Advances in Mathematics, 2011 Final version, 28 ...
Uwe Semmelmann, Andrei Moroianu
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Mediterranean Journal of Mathematics, 2023 Osserman manifolds are a generalization of locally two-point homogeneous spaces. We introduce $k$-root manifolds in which the reduced Jacobi operator has exactly $k$ eigenvalues. We investigate one-root and two-root manifolds as another generalization of locally two-point homogeneous spaces. We prove that there is no two-root Riemannian manifold of odd
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