scholarly journals Polyhedral surfaces and determinant of Laplacian

2012 ◽  
Vol 141 (2) ◽  
pp. 725-735 ◽  
Author(s):  
Alexey Kokotov
Keyword(s):  
Polyhedral Surfaces ◽  
Determinant Of Laplacian

scholarly journals Logarithmic correction to the entropy of extremal black holes in $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gourav Banerjee ◽  
Sudip Karan ◽  
Binata Panda
Keyword(s):  
Black Holes ◽  
Heat Kernel ◽  
Proper Time ◽  
Logarithmic Correction ◽  
Functional Determinant ◽  
Supergravity Theory ◽  
Heat Kernel Expansion ◽  
Determinant Of Laplacian ◽  
Extremal Black Holes ◽  
Classical Background

Abstract We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.

On the convergence of metric and geometric properties of polyhedral surfaces

2007 ◽  
Vol 123 (1) ◽  
pp. 89-112 ◽  
Author(s):  
Klaus Hildebrandt ◽  
Konrad Polthier ◽  
Max Wardetzky
Keyword(s):  
Geometric Properties ◽  
Polyhedral Surfaces

Computing minimal distances on polyhedral surfaces

1989 ◽  
Vol 11 (9) ◽  
pp. 1001-1005 ◽  
Author(s):  
E. Wolfson ◽  
E.L. Schwartz
Keyword(s):  
Polyhedral Surfaces

scholarly journals Worst-case-optimal algorithms for guarding planar graphs and polyhedral surfaces

2003 ◽  
Vol 26 (3) ◽  
pp. 209-219 ◽  
Author(s):  
Prosenjit Bose ◽  
David Kirkpatrick ◽  
Zaiqing Li
Keyword(s):  
Planar Graphs ◽  
Optimal Algorithms ◽  
Worst Case ◽  
Polyhedral Surfaces

Metamorphosis of Polyhedral Surfaces using Decomposition

2002 ◽  
Vol 21 (3) ◽  
pp. 219-228 ◽  
Author(s):  
Shymon Shlafman ◽  
Ayellet Tal ◽  
Sagi Katz
Keyword(s):  
Polyhedral Surfaces
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