Cover Image

Generalized de Rham-Hodge complexes, the related characteristic Chern classes, and some applications to integrable multidimensional differential systems on Riemannian manifolds

We study the differential-geometric aspects of generalized de Rham-Hodge complexes naturally related to integrable multidimensional differential systems of the M. Gromov type, as well as the geometric structure of the Chern characteristic classes. Special differential invariants of the Chern type ar...

Full description

Saved in:

Bibliographic Details
Date:	2007
Main Authors:	Bogolyubov, N. N., Prykarpatsky, A. K., Боголюбов, М. М. (мл.), Прикарпатський, А. К.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2007
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3310
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Generalized de Rham – Hodge complexes, the related characteristic Chern classes and some applications to integrable multidimensional differential systems on Riemannian manifolds
by: Bogolubov, N.N., et al.
Published: (2007)

The generalized De Rham-Hodge theory of Delsarte transmutation operators in multidimension case and its applications
by: Prykarpatsky, Y.A., et al.
Published: (2004)

De Rham 2-Cohomology of Real Flag Manifolds
by: del Barco, V., et al.
Published: (2019)

A Constraint on Chern Classes of Strictly Pseudoconvex CR Manifolds
by: Takeuchi, Yuya
Published: (2020)

The Künneth Formula for the Twisted de Rham and Higgs Cohomologies
by: Chen, K.-C., et al.
Published: (2018)

On local properties of one class of mappings on Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2015)

Non-Abelian Hodge Theory and Related Topics
by: Huang, Pengfei
Published: (2020)

Separability in Riemannian Manifolds
by: Benenti, S.
Published: (2016)

Twisted de Rham Complex on Line and Singular Vectors in sl₂ˆ Verma Modules
by: Slinkin, A., et al.
Published: (2019)

On the local behavior of Sobolev classes on two-dimensional Riemannian manifolds
by: E. A. Sevostjanov
Published: (2019)

On a connection between some classes of mapping on Riemannian manifolds
by: O. Afanaseva, et al.
Published: (2020)

On the local behavior of Sobolev classes on two-dimensional Riemannian manifolds
by: Sevost'yanov, E. A., et al.
Published: (2019)

On prime ends on Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2018)

On the Relation between Curvature, Diameter, and Volume of a Complete Riemannian Manifold
by: Si Duc Quang, et al.
Published: (2004)

On the Relation between Curvature, Diameter, and Volume of a Complete Riemannian Manifold
by: Nguyen, Doan Tuan, et al.
Published: (2004)

Quantitative K-Theory Related to Spin Chern Numbers
by: Loring, T.A.
Published: (2014)

Eigenvalues of Killing Tensors and Separable Webs on Riemannian and Pseudo-Riemannian Manifolds
by: Chanu, C., et al.
Published: (2007)

Quasisymmetric mappings and their generalizations on Riemannian manifolds
by: E. S. Afanas'eva, et al.
Published: (2021)

Compact Riemannian Manifolds with Homogeneous Geodesics
by: Alekseevsky, D.V., et al.
Published: (2009)

Moduli and extremal metrics on nonorientable and twisted Riemannian manifolds
by: Tamrazov, P. M., et al.
Published: (1998)

On equicontinuity of families of inverse mappings of Riemannian manifolds
by: D. P. Iljutko, et al.
Published: (2019)

On the Spectrum of Riemannian Manifolds with Attached Thin Handles
by: Khrabustovskyi, A.
Published: (2009)

Perturbed Parabolic Equation on a Riemannian Manifold
by: Bondarenko, V. G., et al.
Published: (2003)

Hodge Diamonds of the Landau-Ginzburg Orbifolds
by: Basalaev, Alexey, et al.
Published: (2024)

Quasiperiodic Extremals of Nonautonomous Lagrangian Systems on Riemannian Manifolds
by: I. O. Parasiuk
Published: (2014)

On fundamental group of Riemannian manifolds with ommited fractal subsets
by: Mirzaie, R.
Published: (2011)

Quasiperiodic Extremals of Nonautonomous Lagrangian Systems on Riemannian Manifolds
by: Parasyuk, I. O., et al.
Published: (2014)

Boundary behavior of ring Q-homeomorphisms on Riemannian manifolds
by: Afanas'eva, E. S., et al.
Published: (2011)

On fundamental group of Riemannian manifolds with ommited fractal subsets
by: Mirzaie, R., et al.
Published: (2011)

Hodge Numbers from Picard-Fuchs Equations
by: Doran, C.F., et al.
Published: (2017)

Perturbation Method for a Parabolic Equation with Drift on a Riemannian Manifold
by: Bernatskaya, J. N., et al.
Published: (2004)

Removable singularities of mappings with inverse Poletsky inequality on Riemannian manifolds
by: V. Desyatka, et al.
Published: (2024)

Boundary value problem, associated with diffeomorphism between Riemannian manifolds
by: Ju. Potapenko
Published: (2018)

On the Dimension of the Group of Projective Transformations of Closed Randers and Riemannian Manifolds
by: Matveev, V.S.
Published: (2012)

Quantum Abelian Yang-Mills Theory on Riemannian Manifolds with Boundary
by: Díaz-Marín, H.G., et al.
Published: (2018)

Removable singularities of mappings with inverse Poletsky inequality on Riemannian manifolds
by: Desyatka, V., et al.
Published: (2024)

Parametrix method for a parabolic equation on a Riemannian manifold
by: Bondarenko, V. G., et al.
Published: (1999)

Восточноазиатская совка (Otus sunia Hodgs.) в Даурской степи
by: Осипова, М.А.
Published: (1984)

Theory of multidimensional Delsarte – Lions transmutation operators. I
by: Blackmore, D., et al.
Published: (2018)

Theory of multidimensional Delsarte – Lions transmutation operators. II
by: Blackmore, D., et al.
Published: (2019)