[图书][B] The geometry of curvature homogeneous pseudo-Riemannian manifolds
PB Gilkey - 2007 - books.google.com
" Pseudo-Riemannian geometry is an active research field not only in differential geometry
but also in mathematical physics where the higher signature geometries play a role in brane …
but also in mathematical physics where the higher signature geometries play a role in brane …
Lorentzian three-manifolds with special curvature operators
E García-Río, AH Badali… - Classical and Quantum …, 2007 - iopscience.iop.org
Three-dimensional Lorentzian manifolds whose skew-symmetric curvature operators have
constant eigenvalues are studied. A complete algebraic description is given, which allows a …
constant eigenvalues are studied. A complete algebraic description is given, which allows a …
[PDF][PDF] The structure of algebraic covariant derivative curvature tensors
J Díaz-Ramos, B Fiedler, E García-Río… - arXiv preprint math …, 2004 - arxiv.org
arXiv:math/0404060v1 [math.DG] 3 Apr 2004 Page 1 arXiv:math/0404060v1 [math.DG] 3 Apr
2004 THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS …
2004 THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS …
The global geometry of Riemannian manifolds with commuting curvature operators
M Brozos-Vazquez, P Gilkey - Journal of Fixed Point Theory and …, 2007 - Springer
We give manifolds whose Riemann curvature operators commute, ie which satisfy R (x_ 1,
x_ 2) R (x_ 3, x_ 4)= R (x_ 3, x_ 4) R (x_ 1, x_ 2) for all tangent vectors xi in both the …
x_ 2) R (x_ 3, x_ 4)= R (x_ 3, x_ 4) R (x_ 1, x_ 2) for all tangent vectors xi in both the …
Generalized plane wave manifolds
P Gilkey, S Nikcevic - arXiv preprint math/0505253, 2005 - arxiv.org
We show that generalized plane wave manifolds are complete, strongly geodesically
convex, Osserman, Szabo, and Ivanov-Petrova. We show their holonomy groups are …
convex, Osserman, Szabo, and Ivanov-Petrova. We show their holonomy groups are …
Three-dimensional Ivanov–Petrova manifolds
G Calvaruso - Journal of mathematical physics, 2009 - pubs.aip.org
We introduce a system of partial differential equations, whose solutions determine some
large families of three-dimensional Ivanov–Petrova manifolds, both Riemannian and …
large families of three-dimensional Ivanov–Petrova manifolds, both Riemannian and …
Geometric realizations of curvature
M Brozos-Vázquez, P Gilkey, S Nikčević - 2009 - projecteuclid.org
We study geometric realization questions of curvature in the affine, Riemannian, almost
Hermitian, almost para Hermitian, almost hyper Hermitian, almost hyper para Hermitian …
Hermitian, almost para Hermitian, almost hyper Hermitian, almost hyper para Hermitian …
Algebraic properties of curvature operators in Lorentzian manifolds with large isometry groups
G Calvaruso, E García-Río - SIGMA. Symmetry, Integrability and …, 2010 - emis.de
Together with spaces of constant sectional curvature and products of a real line with a
manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class …
manifold of constant curvature, the socalled Egorov spaces and ε-spaces exhaust the class …
[PDF][PDF] Publications and Citations
S Ivanov - 2011 - researchgate.net
Publications and Citations Page 1 Publications and Citations Stefan Ivanov July 14, 2011
Contents 1 Selected works - IF - 45.278 1 2 Citations: 6 3 Total (known to the author) …
Contents 1 Selected works - IF - 45.278 1 2 Citations: 6 3 Total (known to the author) …
Constructing metrics with prescribed geometry
G Calvaruso - Harmonic Maps and Differential Geometry: A …, 2011 - books.google.com
Constructing metrics with prescribed geometry Page 188 http://dx. doi. org/10.1090/conm/542/10706
Contemporary Mathematics Contemporary Mathematics Volume 542 , 2011 Constructing …
Contemporary Mathematics Contemporary Mathematics Volume 542 , 2011 Constructing …