NSF award 2553660 · Auburn University

Sectional Curvature, Isotropic Curvature, and Curvature Operators

Final report due

29 December 2027

in 437 days · The award ends on 31 August 2027.

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Dates this award owes

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Decide about an extension3 May 2027in 197 days
award ending 2027-08-31 · Research.gov
This one is ours, not NSF’s.
Extension request17 Jul 2027in 272 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “at least 45 days prior to the end date”
No-cost extension notice21 Aug 2027in 307 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “at least ten calendar days prior to the end date”
Final report due29 Dec 2027in 437 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “no later than 120-days following the end date of the award”
Project outcomes report due29 Dec 2027in 437 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “no later than 120 days following the end date”
Award is closed out29 Dec 2027in 437 days
award ending 2027-08-31 · Research.gov
PAPPG 24-1: “financially closed out 120 days after their expiration date”

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NSF lists this award's end date as 31 August 2027.
NSF rules say the final report is due no later than 120 days after that.
So the final report is due by 29 December 2027.

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Award card

Award number: 2553660
Period of support: 1 Jan 2026 – 31 Aug 2027
Amount: $219,854
Awardee: Auburn University, Auburn, AL
Program: GEOMETRIC ANALYSIS
Directorate: MPS

Abstract

Curvature serves as a fundamental concept in geometry. Intuitively, it measures the amount by which a space deviates from being flat. A central topic in geometry is to investigate how various positivity conditions on the curvature tensor restrict the shape of the underlying space. This project delves into a variety of curvature conditions under different geometric settings, aiming to deepen our understanding of the…

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