Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Some natural differential operators in the bundles of symmetric tensors and symmetric tensors with values in the tangent bundle are investigated. Applications in geometry, physics and tomography are also reviewed.
Rocznik
Tom
Strony
27--36
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Institute of Mathematics and Computer Science, University of Lodz Lodz, Poland
Bibliografia
- [1] Balcerzak B., Pierzchalski A., Generalized gradients on Lie algebroids, Ann. Global Anal. Geom. 2013, 44(3), 319-337.
- [2] Stepanov S.E., Mikĕs J., The spectral theory of the Yano rough Laplacian with some of its applications, Ann Global Anal. Geom. 2015, 48, 37-46.
- [3] Heil K., Moroianu A., Semmelmann U., Killing and conformal Killing tensors, J. Geom. Phys. 2016, 106, 383-400.
- [4] Reimann H.M., A rotation invariant differential equation for vector fields, Ann. Scuola Norm. Sup. Pisa 1982, 9, 160-174.
- [5] Kimaczyńska A., The differential operators in the bundle of symmetric tensors on a Riemannian manifold, PhD thesis, Łódź University, Faculty of Mathematics and Computer Science, Łódź 2016, 64 p.
- [6] Kimaczyńska A., Pierzchalski A., Elliptic operators in the bundle of symmetric tensors, Banach Center Publications (To appear).
- [7] Sampson J.H., On a theorem of Chern, AMS 1973, 177, 141-153.
- [8] Kobayashi S., Nomizu K., Foundations of differential geometry II, Interscience Publishers, New York - London 1969.
- [9] Yu Y., The Index Theorem and the Heat Equation Method, World Scientific, Singapore – New Jersey - London - Hong Kong 2000.
- [10] Kozłowski W., Pierzchalski A., Natural boundary value problems for weighted form Laplacians, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 2008, (5), VII, 343-367.
- [11] Pierzchalski A., Ricci curvature and quasiconformal deformations of a Riemannian manifold, Manuscripta Mathematica 1989, 66, 113-127.
- [12] Dairbekov N.S., Sharafutdinov V.A., Conformal Killing symmetric tensor fields on Riemannian manifolds (Russian), Mat. Tr. 2010, 13, no. 1, 85-145; translation in Siberian Adv. Math. 2011, 21, 1, 1-41.
- [13] Stepanov S., Tsyganok I., Aleksandrova I., A remark on Laplacian operator which acts on symmetric tensors, arXiv:1411.1928.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a5f650a6-36a7-473a-8fe7-c99e5d768014