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On an algebraic formula and applications to group action on manifolds
algebraic formula applications group action manifolds
2018/4/19
Inspired by a recent result of Cho-Kim-Park, we consider a purely algebraic result. Then given a circle or cyclic group of prime order action on a manifold, we will use it to estimate the lower bound ...
On the equivariant cohomology of rotation groups and Stiefel manifolds
cohomology of rotation groups Stiefel manifolds Algebraic Topology
2011/9/22
Abstract: In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
Birational automorphism groups and the movable cone theorem for Calabi-Yau manifolds of Wehler type via universal Coxeter groups
Birational automorphism groups movable cone theorem Calabi-Yau manifolds of Wehler type
2011/9/22
Abstract: We prove that the birational automorphism group of any Calabi-Yau manifold given by a generic hypersurface of multi-degree two in $({\mathbf P^1})^{n+1}$ is isomorphic to the universal Coxet...
Finiteness of nonzero degree maps between three-manifolds
Finiteness of nonzero degree maps three-manifolds Geometric Topology
2011/9/22
Abstract: In this paper, we prove that every orientable closed 3-manifold dominates at most finitely many homeomorphically distinct irreducible non-geometric 3-manifolds. Moreover, for any integer $d>...
On prolongations of contact manifolds
prolongations of contact manifolds Symplectic Geometry Differential Geometry
2011/9/23
Abstract: In this note, we apply spectral sequences to both derive an obstruction to the existence of $n$-fold prolongations and to derive a topological classification. Prolongations were formerly use...
The Intrinsic Geometry of Almost Contact Metric Manifolds
almost contact manifold Sasakian manifold K-contact manifold the intrinsic geometry of almost contact metric manifolds
2011/9/22
Abstract: In this paper the notion of the intrinsic geometry of an almost contact metric manifold is introduced. Description of some classes of spaces with almost contact metric structures in terms of...
Abstract: This article studies local existence and uniqueness of Yamabe flow within a class of compact Riemannian manifolds with incomplete edge singularities. Our main analytic step is to establish p...
Splitting of 3-Manifolds and Rigidity of Area-Minimising Surfaces
Rigidity of Area-Minimising Surfaces Splitting of 3-Manifolds Differential Geometry
2011/9/21
Abstract: In this paper we prove an area comparison result for certain totally geodesic surfaces in 3-manifolds with a lower bound on the scalar curvature. This result is a variant of a comparison the...
Hierarchy of graph matchbox manifolds
matchbox manifold laminations ends of leaves growth of leaves theory of levels GromovHausdorff metric
2011/9/21
Abstract: We study a class of graph foliated spaces, or graph matchbox manifold, initially constructed by Kenyon and Ghys. For graph foliated spaces we introduce a quantifier of dynamical complexity w...
Curvature properties of pseudo-sphere bundles over paraquaternionic manifolds
twistor space Einstein manifold paraquaternionic structure mixed 3-structure
2011/9/21
Abstract: In this paper we obtain several curvature properties of the twistor and reflector spaces of a paraquaternionic K\"{a}hler manifold and prove the existence of both positive and negative mixed...
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Local energy decay resolvent smoothness wave equation odd dimensions low frequencies asymptotically Euclidean manifolds
2011/9/21
Abstract: We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the decay of the ...
On the curvature of G-manifolds with finitely many non-principal orbits
G-manifold cohomogeneity Ricci curvature
2011/9/20
Abstract: We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal orbits. We prove existence results for metrics of positive Ricci curvature and non-negative ...
Stable Configurations of repelling points on compact hyperbolic Manifolds
compact hyperbolic Manifolds Dynamical Systems
2011/9/20
Abstract: It is shown that on compact hyperbolic manifolds, certain stable configurations of points which mutually repel along all interconnecting geodesics become equidistributed as the number of poi...
Pseudo-Riemannian Weakly Symmetric Manifolds
Pseudo-Riemannian Weakly Symmetric Manifolds Differential Geometry
2011/9/19
Abstract: There is a well developed theory of weakly symmetric Riemannian manifolds. Here it is shown that several results in the Riemannian case are also valid for weakly symmetric pseudo-Riemannian ...
Families of canonically polarized manifolds over log Fano varieties
Families of canonically polarized manifolds log Fano varieties Algebraic Geometry
2011/9/19
Abstract: Let (X,D) be a dlt pair, where X is a normal projective variety. Let S denote the support of the rounddown of D, and K the canonical divisor of X. We show that any smooth family of canonical...