Clifford-Kähler manifolds.
Clodes Geodesics on Non-Compact Riemannian Manifolds.
Closed conformal vector fields on pseudo-Riemannian manifolds.
Closed Curves and Geodesics with Two Self-Intersections on the Punctured Torus.
Closed forms on symplectic fibre bundles.
Closed geodesics and flat tori in spectral theory on symmetric spaces
Closed geodesics in simply connected Riemannian spaces of negative curvature.
Closed Geodesics on Complete Surfaces.
Closed Geodesics on Homogeneous Spaces.
Closed geodesics on surfaces of genus 0
Closed geodesics, periods and arithmetic of modular forms.
Closed hypersurfaces of with two constant symmetric curvatures
Closed Legendre geodesics in Sasaki manifolds.
Closed similarity manifolds.
Closed space curves of constant curvature consisting of arcs of circular helices.
Closed surfaces in four-spaces with non-vanishing normal curvature
Closed surfaces with different shapes that are indistinguishable by the SRNF
The Square Root Normal Field (SRNF), introduced by Jermyn et al. in [5], provides a way of representing immersed surfaces in , and equipping the set of these immersions with a “distance function" (to be precise, a pseudometric) that is easy to compute. Importantly, this distance function is invariant under reparametrizations (i.e., under self-diffeomorphisms of the domain surface) and under rigid motions of . Thus, it induces a distance function on the shape space of immersions, i.e., the space...
Closed transverse -forms on compact complex manifolds
Cluster ensembles, quantization and the dilogarithm
A cluster ensemble is a pair of positive spaces (i.e. varieties equipped with positive atlases), coming with an action of a symmetry group . The space is closely related to the spectrum of a cluster algebra [12]. The two spaces are related by a morphism . The space is equipped with a closed -form, possibly degenerate, and the space has a Poisson structure. The map is compatible with these structures. The dilogarithm together with its motivic and quantum avatars plays a central role...
Coalgebraic Approach to the Loday Infinity Category, Stem Differential for -ary Graded and Homotopy Algebras
We define a graded twisted-coassociative coproduct on the tensor algebra the desuspension space of a graded vector space . The coderivations (resp. quadratic “degree 1” codifferentials, arbitrary odd codifferentials) of this coalgebra are 1-to-1 with sequences of multilinear maps on (resp. graded Loday structures on , sequences that we call Loday infinity structures on ). We prove a minimal model theorem for Loday infinity algebras and observe that the category contains the category as...