This National Science Foundation (NSF) Project Grant award under the Integrative Activities (CFDA 47.083) program provides $119,799 to Wichita State University to investigate geometric and analytic problems related to higher-order curvature quantities and their applications in diverse fields such as general relativity, mechanics, and computer science. The key objectives are to study the Q-curvature Yamabe problem for manifolds with corners or boundaries, and to investigate geometric properties and fully nonlinear Sobolev-type inequalities for a class of scalar invariants. This 2-year project will train undergraduate and graduate students at Wichita State in differential geometry and organize outreach activities to attract more students, especially from underrepresented groups, into STEM fields. The award reflects NSF's focus on supporting fundamental research, developing research capabilities, and broadening participation in the nation's STEM enterprise.
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