REMARKS ON ALMOST $\eta$-SOLITONS

Authors

  • A. M. Blaga Department of Mathematics, West University of Timişoara, Bld. V. Pârvan nr. 4, 300223, Timişoara, România Author

Keywords:

Almost solitons, linear connections

Subjects:

35C08, 35Q51, 53B05

Abstract

A general definition of almost soliton is considered and the particular cases of almost $\eta$-Ricci, -Einstein and -Yamabe solitons are stretched. Conditions of existence of conjugate solitons are also provided and examples from paracontact geometry are constructed. In the gradient case, two inequalities are deduced and a Bochner-type formula is obtained.

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Published

2019-07-15

Issue

Vol. 71 No. 3 (2019): Vol. 71, Issue 3

Section

Articles

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Copyright (c) 2019 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.