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Author: Johan Råde
Publisher:
ISBN:
Category : Heat equation
Languages : en
Pages : 122
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Book Description
Author: Johan Råde
Publisher:
ISBN:
Category : Heat equation
Languages : en
Pages : 122
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Book Description
Author: LEONARD. GROSS
Publisher:
ISBN: 9781470470159
Category : Electronic books
Languages : en
Pages :
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Author: Leonard Gross
Publisher: American Mathematical Society
ISBN: 1470450534
Category : Mathematics
Languages : en
Pages : 111
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Author: Nan-Kuo Ho
Publisher: American Mathematical Soc.
ISBN: 0821844911
Category : Mathematics
Languages : en
Pages : 113
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Book Description
In ``The Yang-Mills equations over Riemann surfaces'', Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. In ``Yang-Mills Connections on Nonorientable Surfaces'', the authors study Yang-Mills functional on the space of connections on a principal $G_{\mathbb{R}}$-bundle over a closed, connected, nonorientable surface, where $G_{\mathbb{R}}$ is any compact connected Lie group. In this monograph, the authors generalize the discussion in ``The Yang-Mills equations over Riemann surfaces'' and ``Yang-Mills Connections on Nonorientable Surfaces''. They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups $SO(n)$ and $Sp(n)$.
Author: Paul M Feehan
Publisher: American Mathematical Society
ISBN: 1470443023
Category : Mathematics
Languages : en
Pages : 138
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The authors' primary goal in this monograph is to prove Łojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.
Author: Sung-Jin Oh
Publisher:
ISBN: 9782856299616
Category :
Languages : en
Pages : 0
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Author: Yuan-Jen Chiang
Publisher: Springer Science & Business Media
ISBN: 3034805349
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced by Guoying Jiang in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied by the author in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.
Author: Yongsheng Han
Publisher: American Mathematical Society
ISBN: 1470453452
Category : Mathematics
Languages : en
Pages : 118
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Author: Marco De Renzi
Publisher: American Mathematical Society
ISBN: 1470452693
Category : Mathematics
Languages : en
Pages : 161
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Author: Clifton Cunningham
Publisher: American Mathematical Society
ISBN: 1470451174
Category : Mathematics
Languages : en
Pages : 232
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