Gradient generalized $$\eta $$-Ricci soliton and contact geometry

2022 ◽  
Vol 113 (1) ◽  
Author(s):  
Amalendu Ghosh
Keyword(s):  
Contact Geometry ◽  
Ricci Soliton

$$*$$-$$\eta $$-Ricci soliton and contact geometry

2021 ◽  
Author(s):  
Santu Dey ◽  
Sumanjit Sarkar ◽  
Arindam Bhattacharyya
Keyword(s):  
Contact Geometry ◽  
Ricci Soliton

Conformal Vector Fields and Ricci Soliton Structures on Natural Riemann Extensions

2021 ◽  
Vol 18 (2) ◽  
Author(s):  
Mohamed Tahar Kadaoui Abbassi ◽  
Noura Amri ◽  
Cornelia-Livia Bejan
Keyword(s):  
Vector Fields ◽  
Ricci Soliton ◽  
Conformal Vector ◽  
Conformal Vector Fields

scholarly journals Concurrent Vector Fields on Lightlike Hypersurfaces

Mathematics ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 59
Author(s):  
Erol Kılıç ◽  
Mehmet Gülbahar ◽  
Ecem Kavuk
Keyword(s):  
Vector Fields ◽  
Ricci Soliton ◽  
Lorentzian Manifold ◽  
Totally Geodesic ◽  
Totally Umbilical ◽  
Lightlike Hypersurfaces

Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike hypersurfaces. Furthermore, Ricci soliton lightlike hypersurfaces admitting concurrent vector fields are studied and some characterizations for this frame of hypersurfaces are obtained.

Contact-geometry engineering in a circular light-emitting diode (LED) for improved electrical and optical performances

2012 ◽  
Vol 28 (1) ◽  
pp. 015006 ◽  
Author(s):  
Yun Soo Park ◽  
Hwan Gi Lee ◽  
Chung-Mo Yang ◽  
Dong-Seok Kim ◽  
Jin-Hyuk Bae ◽  
...  
Keyword(s):  
Light Emitting Diode ◽  
Contact Geometry ◽  
Light Emitting

Modeling the influence of two terminal electrode contact geometry and sample dimensions in electro‐materials

2018 ◽  
Vol 102 (6) ◽  
pp. 3609-3622 ◽  
Author(s):  
Richard A. Veazey ◽  
Amy S. Gandy ◽  
Derek C. Sinclair ◽  
Julian S. Dean
Keyword(s):  
Contact Geometry ◽  
Electrode Contact

scholarly journals ON THE MODIFIED FUTAKI INVARIANT OF COMPLETE INTERSECTIONS IN PROJECTIVE SPACES

2016 ◽  
Vol 222 (1) ◽  
pp. 186-209
Author(s):  
RYOSUKE TAKAHASHI
Keyword(s):  
Vector Field ◽  
Recent Work ◽  
Projective Spaces ◽  
Ricci Soliton ◽  
Complete Intersections ◽  
Necessary Condition ◽  
Ricci Solitons ◽  
Fano Varieties ◽  
Holomorphic Vector Field ◽  
Fano Manifold

Let $M$ be a Fano manifold. We call a Kähler metric ${\it\omega}\in c_{1}(M)$ a Kähler–Ricci soliton if it satisfies the equation $\text{Ric}({\it\omega})-{\it\omega}=L_{V}{\it\omega}$ for some holomorphic vector field $V$ on $M$. It is known that a necessary condition for the existence of Kähler–Ricci solitons is the vanishing of the modified Futaki invariant introduced by Tian and Zhu. In a recent work of Berman and Nyström, it was generalized for (possibly singular) Fano varieties, and the notion of algebrogeometric stability of the pair $(M,V)$ was introduced. In this paper, we propose a method of computing the modified Futaki invariant for Fano complete intersections in projective spaces.

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