On Perelman’s functional with curvature corrections

Rami Ahmad El-Nabulsi

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2012)

  • Volume: 66, Issue: 2
  • ISSN: 0365-1029

Abstract

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In recent ten years, there has been much concentration and increased research activities on Hamilton’s Ricci flow evolving on a Riemannian metric and Perelman’s functional. In this paper, we extend Perelman’s functional approach to include logarithmic curvature corrections induced by quantum effects. Many interesting consequences are revealed.

How to cite

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Rami Ahmad El-Nabulsi. "On Perelman’s functional with curvature corrections." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 66.2 (2012): null. <http://eudml.org/doc/289744>.

@article{RamiAhmadEl2012,
abstract = {In recent ten years, there has been much concentration and increased research activities on Hamilton’s Ricci flow evolving on a Riemannian metric and Perelman’s functional. In this paper, we extend Perelman’s functional approach to include logarithmic curvature corrections induced by quantum effects. Many interesting consequences are revealed.},
author = {Rami Ahmad El-Nabulsi},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Perelman’s functional; logarithmic curvature correction},
language = {eng},
number = {2},
pages = {null},
title = {On Perelman’s functional with curvature corrections},
url = {http://eudml.org/doc/289744},
volume = {66},
year = {2012},
}

TY - JOUR
AU - Rami Ahmad El-Nabulsi
TI - On Perelman’s functional with curvature corrections
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2012
VL - 66
IS - 2
SP - null
AB - In recent ten years, there has been much concentration and increased research activities on Hamilton’s Ricci flow evolving on a Riemannian metric and Perelman’s functional. In this paper, we extend Perelman’s functional approach to include logarithmic curvature corrections induced by quantum effects. Many interesting consequences are revealed.
LA - eng
KW - Perelman’s functional; logarithmic curvature correction
UR - http://eudml.org/doc/289744
ER -

References

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