Pointwise orthogonal splitting of the space of TT-tensors-Reference-Cited by-同舟云学术

Pointwise orthogonal splitting of the space of TT-tensors

Published:2023 Issue:54(2) Volume: Page:45-53
ISSN:0321-4796
Container-title:Differential Geometry of Manifolds of Figures
language:ru
Short-container-title:Differ. Geom. Mnogoobr. Figur

Author:

Stepanov S.E.¹^ORCID,Tsyganok I. I.¹^ORCID

Affiliation:

1. Financial University under the Government of the Russian Federation

Abstract

In the present paper we consider pointwise orthogonal splitting of the space of well-known TT-tensors on Riemannian manifolds. Tensors of the first subspace belong to the kernel of the Bourguignon Laplacian, and the tensors of the second subspace belong to the kernel of the Sampson Laplacian. We give examples and prove Liouville-type non-existence theorems of these tensors.

Publisher

Immanuel Kant Baltic Federal University

Subject

Geology,Ocean Engineering,Water Science and Technology

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