The University of Queensland

Image of a Jacobi Field

Berezansky, Yurij M. and Pulemotov, Artem (2008). Image of a Jacobi Field. Recent advances in matrix and operator theory. (pp. 47-62) edited by Joseph A. Ball, Yuli. Eidelman, J. William Helton, Vadim Olshevsky and J.ames Rovnyak. Basel, Switzerland: Birkhauser Verlag.

On the generalized joint eigenvector expansion for commuting normal operators

Pulemotov, Artem (2004). On the generalized joint eigenvector expansion for commuting normal operators. Current trends in operator theory and its applications. (pp. 517-524) edited by Joseph A. Ball, J. William Helton, Martin Klaus and Leiba Rodman. Basel, Germany: Birkhauser Verlag.

The prescribed cross curvature problem on the three-sphere

Buttsworth, Timothy and Pulemotov, Artem (2023). The prescribed cross curvature problem on the three-sphere. Journal of Functional Analysis, 285 (5) 110019, 1-58. doi: 10.1016/j.jfa.2023.110019

Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy

Gould, Mark and Pulemotov, Artem (2022). Homogeneous metrics with prescribed Ricci curvature on spaces with non-maximal isotropy. Communications in Analysis and Geometry, 30 (8), 1849-1893. doi: 10.4310/cag.2022.v30.n8.a8

The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups

Arroyo, Romina M., Pulemotov, Artem and Ziller, Wolfgang (2021). The prescribed Ricci curvature problem for naturally reductive metrics on compact Lie groups. Differential Geometry and its Application, 78 101794, 1-14. doi: 10.1016/j.difgeo.2021.101794

On the Ricci iteration for homogeneous metrics on spheres and projective spaces

Buttsworth, T., Pulemotov, A., Rubinstein, Y. A. and Ziller, W. (2021). On the Ricci iteration for homogeneous metrics on spheres and projective spaces. Transformation Groups, 26 (1), 145-164. doi: 10.1007/s00031-020-09602-3

Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces

Pulemotov, Artem (2019). Maxima of curvature functionals and the prescribed Ricci curvature problem on homogeneous spaces. Journal of Geometric Analysis, 30 (1), 987-1010. doi: 10.1007/s12220-019-00175-6

Ricci iteration on homogeneous spaces

Pulemotov, Artem and Rubinstein, Yanir A. (2019). Ricci iteration on homogeneous spaces. Transactions of the American Mathematical Society, 371 (9), 6257-6287. doi: 10.1090/tran/7498

The Ricci flow on domains in cohomogeneity one manifolds

Pulemotov, Artem (2017). The Ricci flow on domains in cohomogeneity one manifolds. Journal of Mathematical Analysis and Applications, 456 (2), 745-766. doi: 10.1016/j.jmaa.2017.07.048

Metrics with prescribed Ricci curvature on homogeneous spaces

Pulemotov, Artem (2016). Metrics with prescribed Ricci curvature on homogeneous spaces. Journal of Geometry and Physics, 106, 275-283. doi: 10.1016/j.geomphys.2016.04.003

The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds

Pulemotov, Artem (2015). The Dirichlet problem for the prescribed Ricci curvature equation on cohomogeneity one manifolds. Annali di Matematica Pura ed Applicata, 195 (4), 1269-1286. doi: 10.1007/s10231-015-0515-x

Metrics with prescribed Ricci curvature near the boundary of a manifold

Pulemotov, Artem (2013). Metrics with prescribed Ricci curvature near the boundary of a manifold. Mathematische Annalen, 357 (3), 969-986. doi: 10.1007/s00208-013-0929-y

Quasilinear parabolic equations and the Ricci flow on manifolds with boundary

Pulemotov, Artem (2013). Quasilinear parabolic equations and the Ricci flow on manifolds with boundary. Journal für die reine und a ngewandte Mathematik, 683 (683), 97-118. doi: 10.1515/crelle-2012-0004

Gradient estimates for the heat equation under the Ricci flow

Bailesteanu, Mihai, Cao, Xiaodong and Pulemotov, Artem (2010). Gradient estimates for the heat equation under the Ricci flow. Journal of Functional Analysis, 258 (10), 3517-3542. doi: 10.1016/j.jfa.2009.12.003

The Li-Yau-Hamilton estimate and the Yang-Mills heat equation on manifolds with boundary

Pulemotov, Artem (2008). The Li-Yau-Hamilton estimate and the Yang-Mills heat equation on manifolds with boundary. Journal of Functional Analysis, 255 (10), 2933-2965. doi: 10.1016/j.jfa.2008.07.025

The Hopf boundary point lemma for vector bundle sections

Pulemotov, Artem (2008). The Hopf boundary point lemma for vector bundle sections. Commentarii Mathematici Helvetici, 83 (2), 407-419. doi: 10.4171/CMH/130

Spectral theory and Wiener-Ito decomposition for the image of a Jacobi field

Berezansky, Yu M. and Pulemotov, Artem D. (2007). Spectral theory and Wiener-Ito decomposition for the image of a Jacobi field. Ukrainian Mathematical Journal, 59 (6), 811-832. doi: 10.1007/s11253-007-0052-x

Image of the Spectral Measure of a Jacobi Field and the Corresponding Operators

Berezansky, Y. M., Lytvynov, E. W. and Pulemotov, A. D. (2005). Image of the Spectral Measure of a Jacobi Field and the Corresponding Operators. Integral Equations and Operator Theory, 53 (2), 191-208. doi: 10.1007/s00020-004-1344-2

Support of a joint resolution of identity and the projection spectral theorem

Pulemyotov, Artem D. (2003). Support of a joint resolution of identity and the projection spectral theorem. Infinite Dimensional Analysis Quantum Probability and Related Topics, 6 (4), 549-561. doi: 10.1142/S0219025703001444

On the support of the product of resolutions of identity

Pulemotov, Artyom. (2001). On the support of the product of resolutions of identity. Methods of Functional Analysis and Topology, 7 (2), 75-80.

On the generalized joint eigenvector expansion for commuting normal operators

Pulemyotov, A (2004). On the generalized joint eigenvector expansion for commuting normal operators. International Workshop on Operator Theory and its Applications (IWOTA), Blacksburg Va, Aug, 2002. BASEL: BIRKHAUSER VERLAG AG.