Results 171 to 180 of about 7,331 (195)

Remarks on Kähler–Ricci solitons

Advances in Geometry, 2015
Abstract We prove that a compact complex manifold endowed with a Kähler-Ricci soliton cannot be isometrically embedded in a complex projective space ℂℙn in such a way that the Gauss map is rational, unless the metric is Einstein. This applies to hypersurfaces of complex compact homogeneous spaces canonically embedded in ℂℙn.We moreover ...
BEDULLI, LUCIO, Gori A.
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A note on almost Ricci solitons

Analysis and Mathematical Physics, 2020
We find several sufficient conditions on a compact almost Ricci soliton under which it is a trivial Ricci soliton. We also find a sufficient condition under which a compact almost Ricci soliton is isometric to a sphere.
Sharief Deshmukh, Hana Al-Sodais
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Applications to Ricci Solitons

2016
In this chapter we apply maximum principles techniques to the study of the geometry of Ricci solitons. Ricci solitons have become the subject of a rapidly increasing investigation since the appearance of the seminal works of Hamilton [133] and Perelman [217]; this investigation has been mainly directed towards two goals, classification and triviality ...
Marco Rigoli, Luis J. Alías, Paolo Mastrolia   +2 more
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Geometry of Ricci Solitons*

Chinese Annals of Mathematics, Series B, 2006
Ricci solitons are natural generalizations of Einstein metrics on one hand, and are special solutions of the Ricci flow of Hamilton on the other hand. In this paper we survey some of the recent developments on Ricci solitons and the role they play in the singularity study of the Ricci flow.
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The Physical Parameters of EDFA and SOA Optical Amplifiers and Bit Sequence Variations Based Optical Pulse Generators Impact on the Performance of Soliton Transmission Systems

Journal of Optical Communications, 2022
Rajagopal Maheswar, Ahmed Nabih Zaki Rashed, Iraj Sadegh Amiri   +2 more
exaly  

A pulse amplitude modulation scheme based on in-line semiconductor optical amplifiers (SOAs) for optical soliton systems

Indonesian Journal of Electrical Engineering and Computer Science, 2021
Ahmed Nabih Zaki Rashed
exaly  

Integrated, Ultra‐Compact High‐Q Silicon Nitride Microresonators for Low‐Repetition‐Rate Soliton Microcombs

Laser and Photonics Reviews, 2022
Victor Torres-company, Zhichao Ye, Fuchuan Lei   +2 more
exaly  

Massively parallel coherent laser ranging using a soliton microcomb

Nature, 2020
Anton Lukashchuk, Erwan Lucas, Johann Riemensberger   +2 more
exaly  

Visualizing the “Invisible” Soliton Pulsation in an Ultrafast Laser

Laser and Photonics Reviews, 2020
Zhi-chao Luo, Ai-ping Luo, Chao Yu
exaly