On the induced geometric object on submanifolds of homogeneous spaces
On the Initial-Boundary Value Problem for Harmonic Maps from the 2-Dimensional Minkowski Space.
On the Instability of Minimal Submanifolds in Riemannian Manifolds of Positive Curvature.
On the integrability of a -conformal Killing equation in a Kaehlerian manifold.
On the integrability of orthogonal distributions in Poisson manifolds.
On the integral geometry of the linear subspaces in a biplanar space
On the integration theorem for Lie groupoids
On the intrinsic geometry of a unit vector field
We study the geometrical properties of a unit vector field on a Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature , we give a description of the totally geodesic unit vector fields for and and prove a non-existence result for . We also found a family of vector fields on the hyperbolic 2-plane of curvature which generate foliations on with leaves of constant intrinsic...
On the Intrinsic Geometry of Sn x Sn.
On the invariance properties and the hamiltonian of the unified affine electromagnetism and gravitation theories
On the invariant method in differential geometry of submanifolds
On the irreducibility and inequivalence of unitary representations of gauge groups
On the Irreducibility of Flensted-Jensen's Fundamental Series Representations for Semisimple Symmetric Spaces.
On the Isotropy of Compact Minimal Surfaces in CPn.
On the iterated absolute differentiation on some functional bundles
We deduce further properties of connections on the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base, which we introduced in [2]. In particular, we define the vertical prolongation of such a connection, discuss the iterated absolute differentiation by means of an auxiliary linear connection on the base manifold and prove the general Ricci identity.
On the Jäger-Kaul theorem concerning harmonic maps
On the jets of foliation respecting maps
Using Weil algebra techniques, we determine all finite dimensional homomorphic images of germs of foliation respecting maps.
On the Kähler angles of submanifolds.
On the Kenmotsu hypersurfaces of special Hermitian manifolds.
On the kernel of holonomy.
A connection on a principal G-bundle may be identified with a smooth group morphism H : GL∞(M) → G, called a holonomy, where GL∞(M) is a group of equivalence classes of loops on the base M. The present article focuses on the kernel of this morphism, which consists of the classes of loops along which parallel transport is trivial. Use is made of a formula expressing the gauge potential as a suitable derivative of the holonomy, allowing a different proof of a theorem of Lewandowski’s, which states...