The Jordan normal form of higher order Osserman algebraic curvature tensors

We construct new examples of algebraic curvature tensors so that the Jordan normal form of the higher order Jacobi operator is constant on the Grassmannian of subspaces of type $(r,s)$ in a vector space of signature $(p,q)$. We then use these examples to establish some results concerning higher order Osserman and higher order Jordan Osserman algebraic curvature tensors

Caregiver Employment Status and Time to Institutionalization of Persons with Dementia

Background - This study was undertaken to examine the association between caregiver employment status and the time to institutionalization of persons with dementia. No study has previously examined this association. Methods - The database of the Canadian Study of Health and Aging was used to obtain data on 326 caregiver/care-recipient dyads. Caregivers were primary, informal carers; care-recipients were diagnosed with dementia and living in the community at baseline. Care-recipients were followed from the date of their baseline screening interview until the date of institutionalization, the date of death before institutionalization, or the date of the 5-year follow-up interview. An accelerated failure time model with a Weibull distribution was used to conduct the survival analysis. Results - During the 5-year follow-up period, 139 care-recipients (45%) were institutionalized; the median time to institutionalization was 1,821 days (95% confidence interval [CI]: 1,539-1,981 days) for the care-recipients of employed caregivers and 1,542 days (95% CI: 1,284-1,653 days) for the care-recipients of unemployed caregivers (p = 0.0634). The adjusted acceleration factor was 1.85 (95% CI: 1.08-3.86), controlling for caregiver thoughts about institutionalizing the care-recipient, caregiver health, and the use of a day center to help provide care. Conclusions - For the care-recipients of employed caregivers, the adjusted time to institutionalization was longer than for the care- recipients of unemployed caregivers.dementia, caregiver, employment, time to institutionalization