Text Formatting ⇒ Chapter header spacing, spacing after sections

[DMichael]

Hi, I am trying to create double spacing throughout this document - after "Chapter 1" and "after Dimension Reduction in Symmetric Spaces", etc. I also want a top margin of an 1 inch. Can anyone tell me how this might be done? Thanks!

Here is the compiled tex code -

test.pdf

(47.33 KiB) Downloaded 238 times

I added a pdf below created in Word that has the formatting that I'd to implement in tex (Chapter 1.pdf).

Chapter 1.pdf

(8.92 KiB) Downloaded 206 times

Code: Select all

\documentclass[12pt,fleqn, letterpaper]{report}
\usepackage{sectsty}
\usepackage{lipsum}
\chapterfont{\centering}
\sectionfont{\fontsize{12}{15}\selectfont \centering \mdseries}
\chapterfont{\fontsize{12}{15}\selectfont \centering \mdseries}
\subsectionfont{\fontsize{12}{15}\selectfont \centering \mdseries}
\usepackage{mathptmx}
\usepackage[nodisplayskipstretch]{setspace}
\usepackage[left=.88in,right=.88in,top=.88in,bottom=.88in,includefoot]{geometry}
\doublespacing
\begin{document}
\chapter{Dimension Reduction in Symmetric Spaces} \label{chpt:Dim_Red} \vspace{-15pt}
In this chapter PGA procedures and their computations for data in three types of manifolds, the space of positive definite matrices, the special orthogonal group and the unit spheres, are specified and analyzed.
\section{The Space of Positive Definite Matrices, $P(n)$} \label{sec:pos_def}
\subsection{Geometry of $P(n)$} \label{ssec:posdef_geo}
A real $n \times n$ symmetric matrix, $p$, is \textit{positive definite} if and only if for each $n \times 1$ real column vector $x \neq 0$ we have $x^\top  p x> 0$. The set of all positive definite matrices is denoted here by $P(n)$. $P(n)$ can also be characterized as the set of all real $n \times n$ symmetric matrices with all eigenvalues strictly greater than zero.
\end{document}