Caristi's fixed point theorem and metric convexity
Cartan connection of transversally Finsler foliation
The purpose of this paper is to define transversal Cartan connection of Finsler foliation and to prove its existence and uniqueness.
Cartan connections and Lie algebroids.
Cartan connections and momentum maps
Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.
We study the geometry of the second fundamental form of a Cauchy-Riemann submanifold of a Kaehlerian Finsler space M2n; any totally-real submanifold of M2n with v-flat normal connection is shown to be a Berwald-Cartan space.
Cauchy's problem for Bach's equations of general relativity.
Caustics and wave front propagations: applications to differential geometry
This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.
Central extensions and reciprocity laws
Centrally-symmetric tight surfaces and graph embeddings.
Certain connections between time functions and compact spacelike submanifolds
Certain contact metrics satisfying the Miao-Tam critical condition
We study certain contact metrics satisfying the Miao-Tam critical condition. First, we prove that a complete K-contact metric satisfying the Miao-Tam critical condition is isometric to the unit sphere . Next, we study (κ,μ)-contact metrics satisfying the Miao-Tam critical condition.
Certain property of the Ricci tensor on Sasakian manifolds
Certain sufficient conditions to be a complex projective space
Characterisations of Poisson integrals on symmetric spaces.
Characteristic classes of multifoliations
Characteristic distributions on 4-dimensional almost complex manifolds
In this paper the Nijenhuis tensor characteristic distributions on a non-integrable four-dimensional almost complex manifold is investigated for integrability, singularities and equivalence.
Characteristic points, rectifiability and perimeter measure on stratified groups
We establish an explicit connection between the perimeter measure of an open set with boundary and the spherical Hausdorff measure restricted to , when the ambient space is a stratified group endowed with a left invariant sub-Riemannian metric and denotes the Hausdorff dimension of the group. Our formula implies that the perimeter measure of is less than or equal to up to a dimensional factor. The validity of this estimate positively answers a conjecture raised by Danielli, Garofalo...
Characteristic vector fields of generic distributions of corank 2
Characterization of a slant submanifold of a Kenmotsu manifold.
Characterization of -lightlike warped product of indefinite Kenmotsu manifolds