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You searched for +publisher:"University of Notre Dame" +contributor:("Fred Xavier, Committee Member"). Showing records 1 – 3 of 3 total matches.

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University of Notre Dame

1. Xiaoyang Chen. Curvature and Riemannian Submersions</h1>.

Degree: Mathematics, 2014, University of Notre Dame

We study Riemannian submersions from positively curved manifolds and from Einstein manifolds. We first prove a diameter rigidity theorem for Riemannian submersions.Secondly we show that there is no nontrivial Riemannian submersion from positively curved four manifolds such that either the mean curvature vector field or the norm of the O'Neill tensor is basic. We also classify Riemannian submersions from compact four-dimensional Einstein manifolds with totally geodesic fibers. Advisors/Committee Members: Karsten Grove, Committee Chair, Stephan Stolz, Committee Member, Fred Xavier, Committee Member, Xiaobo Liu, Committee Member.

Subjects/Keywords: Fred Wilhelm’s conjecture; Riemannian submersions

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Chen, X. (2014). Curvature and Riemannian Submersions</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/fb494744f2q

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Chen, Xiaoyang. “Curvature and Riemannian Submersions</h1>.” 2014. Thesis, University of Notre Dame. Accessed November 28, 2020. https://curate.nd.edu/show/fb494744f2q.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Chen, Xiaoyang. “Curvature and Riemannian Submersions</h1>.” 2014. Web. 28 Nov 2020.

Vancouver:

Chen X. Curvature and Riemannian Submersions</h1>. [Internet] [Thesis]. University of Notre Dame; 2014. [cited 2020 Nov 28]. Available from: https://curate.nd.edu/show/fb494744f2q.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chen X. Curvature and Riemannian Submersions</h1>. [Thesis]. University of Notre Dame; 2014. Available from: https://curate.nd.edu/show/fb494744f2q

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Notre Dame

2. Jian Ge. Low Dimension Soul Theorems</h1>.

Degree: Mathematics, 2011, University of Notre Dame

We study the Soul theorem for low dimensional topologically regular open complete nonnegatively curved Alexandrov spaces and give a topological classification of these spaces. These spaces occurs naturally as the blow-up limits of sequences of Riemannian manifold with a lower curvature bound. This will be used to study the collapsing of 3-dimension manifold as well as of 4-dimension Riemannian manifold with a lower curvature bound. These spaces have also been studied in [SY00] and [Yam02]. Our main tools are critical point theory for distance functions and Perelman’s Fibration Theorem. Advisors/Committee Members: Brian Smyth, Committee Member, Jianguo Cao, Committee Chair, Karsten Grove, Committee Member, Fred Xavier, Committee Member.

Subjects/Keywords: Soul theorem; Alexandrov geometry

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Ge, J. (2011). Low Dimension Soul Theorems</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/kd17cr58x0q

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Ge, Jian. “Low Dimension Soul Theorems</h1>.” 2011. Thesis, University of Notre Dame. Accessed November 28, 2020. https://curate.nd.edu/show/kd17cr58x0q.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Ge, Jian. “Low Dimension Soul Theorems</h1>.” 2011. Web. 28 Nov 2020.

Vancouver:

Ge J. Low Dimension Soul Theorems</h1>. [Internet] [Thesis]. University of Notre Dame; 2011. [cited 2020 Nov 28]. Available from: https://curate.nd.edu/show/kd17cr58x0q.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ge J. Low Dimension Soul Theorems</h1>. [Thesis]. University of Notre Dame; 2011. Available from: https://curate.nd.edu/show/kd17cr58x0q

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Notre Dame

3. Sujin Khomrutai. Regularity of Singular Solutions to Sigma_k-Yamabe Problems</h1>.

Degree: Mathematics, 2009, University of Notre Dame

We prove some regularity results for singular solutions of σk-Yamabe problem, where the singular set is a compact hypersurface in a Riemannian manifold. This problem is a fully nonlinear version of the singular Yamabe problem, which is an equation of semilinear type. Apart from their importance in conformal geometry, the blow-up solutions along a hypersurface or the boundary of a manifold have also received much attention in the study of AdS/CFT correspondence in physics. We study the problem in the case of negative cone. In this case, the main difficulty is the lack of C2 estimate, so we have to rely on the maximum principle and method of sub- and super-solutions. Combining our result with the theory of “Edge Differential Operators” developed by R. Mazzeo we obtain a polyhomogeneous expansion of any singular solutions in terms of the distance to the singular set. Advisors/Committee Members: Fred Xavier, Committee Member, Alex Himonas, Committee Member, Matthew Gursky, Committee Chair, Robert Rennie, Committee Member, Brian Smyth, Committee Member.

Subjects/Keywords: singular solutions; partial differential equation

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Khomrutai, S. (2009). Regularity of Singular Solutions to Sigma_k-Yamabe Problems</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/wd375t37b4z

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Khomrutai, Sujin. “Regularity of Singular Solutions to Sigma_k-Yamabe Problems</h1>.” 2009. Thesis, University of Notre Dame. Accessed November 28, 2020. https://curate.nd.edu/show/wd375t37b4z.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Khomrutai, Sujin. “Regularity of Singular Solutions to Sigma_k-Yamabe Problems</h1>.” 2009. Web. 28 Nov 2020.

Vancouver:

Khomrutai S. Regularity of Singular Solutions to Sigma_k-Yamabe Problems</h1>. [Internet] [Thesis]. University of Notre Dame; 2009. [cited 2020 Nov 28]. Available from: https://curate.nd.edu/show/wd375t37b4z.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Khomrutai S. Regularity of Singular Solutions to Sigma_k-Yamabe Problems</h1>. [Thesis]. University of Notre Dame; 2009. Available from: https://curate.nd.edu/show/wd375t37b4z

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.